Start studying Unit Circle - Degrees. Identify your initial angle. One degree is equal 0.01745329252 radians. It is an irrational number and is equal to $0.5773502691\ldots$ in decimal form. To find tan of another number, please enter the number below and press "Calculate Tan". sec(-150 degrees) sin(-7pi/6) cos(16pi/3) Expert Answer . The tangent function is used in measuring height of objects located at known distances and has application in flight path and altitude gain calculations. The method to convert a negative degree into radian is same as we have done for positive degrees. Solve your math problems using our free math solver with step-by-step solutions. In the graph above, tan(α) = a/b and tan(β) = b/a. For this example, we’ll use 440° 2. The azimuth of a star is how many degrees along the horizon it is and corresponds to the compass direction. How to Find a Reference Angle in Degrees Finding a reference angle in degrees is straightforward if you follow the correct steps. Wife of drug kingpin El Chapo arrested in Virginia, Pat Sajak called out for mocking contestant, Woman’s license mistakenly features her in a face mask, Top volleyball duo boycott country over bikini ban, 'Bachelor' hopeful suffers horrifying skydiving accident, Jobless workers may face a surprise tax bill, Raiders player arrested in Texas street-racing incident, Congressman puts right-wing extremists on notice, Actress confirms engagement to NFL star Aaron Rodgers, The good and the bad in Biden’s giant relief bill, McCain stands by Fauci criticism: 'I'm not a phony'. Determine angle type: 315 is an obtuse angle since it is greater than 90° tan(315) = -1 If you'd like to cite this online calculator resource and information as provided on the page, you can use the following citation: Georgiev G.Z., "Tangent Calculator", [online] Available at: https://www.gigacalculator.com/calculators/tangent-calculator.php URL [Accessed Date: 23 Feb, 2021]. The answer is as follows: Tan(330) = -0.577350269190. The tangent is a trigonometric function, defined as the ratio of the length of the side opposite to the angle to the length of the adjacent side, in a right-angled triangle. Then to get things beyond the first quadrant, add pi/2 or pi to the known values of theta to match it then modify your reasoning. . what is the answer to (-2) to the 0 power? Learn vocabulary, terms, and more with flashcards, games, and other study tools. tan(x) calculator. I know youre supposed to add or subtract 2pi. If the angle is unknown, but the lengths of the opposite and adjacent side in a right-angled triangle are known, then the tangent can be calculated from these two measurements. Azimuth starts from exactly North = 0 degrees azimuth and increases clockwise: exactly East = 90 degrees, exactly South = 180 degrees, exactly West = 270 degrees, and exactly North = 360 degrees = 0 degrees. The tangents are then just the y divide by the x. View 04.03a Unit Circle Assignment.pdf from MATH 104 at Lake Superior State University. Make the expression negative because cotangent is negative in the fourth quadrant. Easy as that. A complete circle is divided into 360 degrees. prove the identity (sec^2 x-1) csc^2x = sec^2x? All you have to do is follow these steps: Choose your initial angle - for example, 610°. They are also used in robotics to calculate robot arm kinematics. Inverse tangent calculator.Enter the tangent value, select degrees (°) or radians (rad) and press the = button. The inexact value of tan 330 is -0.577350, to six significant places. Solve it with … Find the exact value. See our full terms of service. Sine 330° Value in Radians / Degrees | Sine Values for 330° Use this simple sine calculator to calculate the sine value for 330° in radians / degrees. Determine angle type: 330 is an obtuse angle since it is greater than 90° tan(330) = … So you should really work with that unit circle! Radians to Degrees conversion. Here we answer one simple question: What is tan (330) degrees? Tan 0 = sin 0/cos 0 = 0/1 = 0. 1. 1° = π/180° = 0.005555556π = 0.01745329252 rad. If by 330 you mean 330 degrees, then yes, you are supposed to have that memorized. −tan(30) - tan ( 30) The exact value of tan(30) tan ( 30) is √3 3 3 3. Free online tangent calculator. Favorite Answer. It is essentially 1/sqrt (3). It is called "tangent" since it can be represented as a line segment tangent to a circle. Then when you have a value, like cos(pi/6), think of what angle that makes and if it intersects the unit circle close to, far away from, or middle distance from the x-axis then use the appropriate value. Tangent Tables Chart of the angle 271° to 360° in degrees and radians for students. Solution for Find the exact values of the six trig functions. Give an exact answer. Multiply the given value of the angle in degrees by π/180. We're supposed to exactly evaluate these angles for our precalculus homework by sketching graphs and not using calculators. You should have the sine/cosine/tangent values memorized in increments of 30 degrees (pi/6) and 45 degrees (pi/4). Question 441380: What is the exact value of tan 330? Previous question Next question Get more help from Chegg. Understand that the input value (such as tan of 30 degrees) for the trigonometric functions would be a particular angle. Online arctan(x) calculator. Confusion towards what to do next after you get x^2/a^2= sqrt(b^2+y^2)/b. Step 2: Rearrange the terms: radian measure = π × 330/180. radian measure = π × 330/180 = Step 3: Reduce or simplify the fraction of π if necessary. We know, Sin 30° = 1/2 & Cos 30° = √3/2. Here's a tip: I only memorized the first quadrant, notice how you just use the numbers 1/2, sqrt(2)/2, and sqrt(3)/2 - remember the order of those as going from lowest to highest. $\tan{(30^°)} \,=\, \dfrac{1}{\sqrt{3}}$ The exact value of tan of angle $30$ degrees is $\dfrac{1}{\sqrt{3}}$ in fraction from. A tangent of an angle α is also equal to the ratio between its sine and cosine, so tanα = sinα / cosα. Suppose, -180 degrees has to be converted into radian, then, We are not to be held responsible for any resulting damages from proper or improper use of the service. Following from the definition, the function results in an undefined value at certain angles, like 90°, 270°, 460°, and so on. I am learning number system all over again since it's been a while. Join Yahoo Answers and get 100 points today. What is Tan 330 degrees? Hi tan(330°) = sin (330°)/cos(330°) = The exact value of is . The answer therefore is -tan(30) = -1/√3. For example, if a = 15 and b = 20, then tan(α) = 15 / 20 = 0.75. Calculate tan(330)° Determine quadrant: Since our angle is greater than 270 and less than or equal to 360 degrees, it is located in Quadrant IV In the fourth quadrant, the values for cos are positive only. Tan 30°=sin 30°/cos 30°. Tan(330) = 0.133557088951 This is the same answer you will get if you have a scientific calculator set to RAD mode and then enter 330 followed by the Tan button. The general formula to convert radian into degree is to simply multiply the given number of degrees by 180°/π. Calculating the gcd of 330 and 180 [gcd(330,180)], we've found that it equals 30. Each tool is carefully developed and rigorously tested, and our content is well-sourced, but despite our best effort it is possible they contain errors. Find the Exact Value cot(330 degrees ) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Degrees The degree is a measurement unit of angles. The Trignometric Table of sin, cos, tan, cosec, sec, cot is useful to learn the common angles of trigonometrical ratios from 0° to 360°. In an everyday kind of situation, if you are cutting down a tree and want to tether the top to the ground with rope at an X angle, use the tan function to calculate how much rope you would need. The result can be shown in multiple forms. The reference angle is 360-330 = 30. Step 1: Plugg the angle value, in degrees, in the formula above: radian measure = (330 × π)/180. Answer by ewatrrr(23274) (Show Source): You can put this solution on YOUR website! If you understand the following definitions of sine, cosine and tangent you will find this whole topic very straightforward! Same goes for sine and the y-axis. The inverse of the tangent is the arctangent function: arctan(x). Find the Exact Value tan (330) tan (330) tan ( 330) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. No decimals!!! im not sure how to get from .523 to the proper form of radians pi/6 :O HELP … Tangent function ( tan(x) ) The tangent is a trigonometric function, defined as the ratio of the length of the side opposite to the angle to the length of the adjacent side, in a right-angled triangle. It is called "tangent" since it can be represented as a line segment tangent to a circle. The angle is larger than a full angle of 360°, so you need to subtract the total angle until it’s small. cot(330)=1/tan(330) 330 lies in quadrant 4 where tan is negative. Hence, the value of Tan 30 degrees is 1/√3. 440° - 360° = 80° 3. For example, "evaluate tan330". Im not exactly sure how to get the answer back into angle form after subtracting from my calculator. If by 330 you mean 330 degrees, then yes, you are supposed to have that memorized. In engineering, it is used to calculate forces of supporting structures, like roof beams. https://www.gigacalculator.com/calculators/tangent-calculator.php. This is the same answer you will get if you have a scientific calculator set to DEG mode andthen enter 330 followed by the Tan button. It is useful for finding an angle x when tan(x) is known. y=? Tan 330° Value in Radians / Degrees | Tan Values for 330° Use this simple tan calculator to calculate the tan value for 330° in radians / degrees. The tan of 30 degrees, that is, tan (30 degrees) would be equal to 0.577350269. tan(330) = … sin -30 / cos -30= negative root 3 over 3, tan 330 = tan (360 - 30) = tan (-30) = -tan 30 = root3/2 = 1.732/2 = 0.866. Make the expression negative because tangent is negative in the fourth quadrant. Keep doing it until you get an angle smaller than a full angle. Calculate tan(315)° Determine quadrant: Since our angle is greater than 270 and less than or equal to 360 degrees, it is located in Quadrant IV In the fourth quadrant, the values for cos are positive only. Use this tanget calculator to easily calculate the tangent of an angle given in degrees or radians. This website uses cookies to improve your experience, analyze traffic and display ads. 11pi/5=.523 which i guessed and is equal to pi/6. Get your answers by asking now. We can also find the value of tan 0, tan 45, tan 60 and tan 90 in the same manner. Complete the unit circle below: Determine the radian measure for each angle Determine the Sin, Cos, Tan ∴ Tan 30° = (1/2) / (√3/2) Tan 30° = 1/√3. − √3 3 - 3 3. If your angle is larger than 360° (a full angle), subtract 360°. Our tangent calculator accepts input in degrees or radians, so assuming the angle is known, just type it in and press "calculate". coterminal angles degrees worksheet answers, How do i find the positive and negative coterminal angles of 11pi/5. Use our tan(x) calculator to find the exact value of tangent of 330 degrees as a fraction - tan(330 °) - or the tangent of any angle in degrees and in radians. Example 4: Convert 330 degrees to radians. The exact value cannot be represented as a single number because it is a non terminating decimal. How to find the reference angle for degrees. The Trignometric Table of sin, cos, tan, cosec, sec, cot is useful to learn the common angles of trigonometrical ratios from 0° to 360°. This is the same as finding the modulo. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. The reciprocal of tangent is the cotangent: cot(x), sometimes written as cotan(x), which is the ratio of the length of the adjacent side to the length of the side opposite to the angle. Tan 45 = sin 45/cos 45 = (1/√2)/ (1/√2) = 1. x^2/a^2-y^2/b^2=1 a=? Solution: Using the formula, 330 x π/180 = 11π/6. How do I compute the hexadecimal multiplication FF*F1? tan 330 degrees. Still have questions? sin(330)° cos(330)° : tan(330)° : csc(330)° = sec(330)° =… Negative Degrees to Radian. Our online calculators, converters, randomizers, and content are provided "as is", free of charge, and without any warranty or guarantee. Above: the tan calculator output for increasing angle values in degrees. (a) \tan 330^{\circ} (b) \tan \left(-225^{\circ}\right)