Answer. Find the Exact Value sin(300) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Adj/Hyp = Cosine. In what quadrant is this angle? Find the Exact Value sin(330 degrees ) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Trigonometric sine calculator.. Also, -30 and 30 has the same cos because cos represents the horizontal length of the x-axis (between -1 to 1) So, cos 330 = sqrt(3)/2 Multiply and . 0 345 330 315 300 285 270 255 x 0 = 2ˇ ˇ 12 ˇ 6 ˇ 4 ˇ 3 5ˇ 12 ˇ 2 7ˇ 12 x 2ˇ 2ˇ= 0 23ˇ 12 11ˇ 6 7ˇ 4 5ˇ 3 19ˇ 12 3ˇ 2 17ˇ 12 sin(x) 0 p 6 p 2 4 1 2 p 2 2 p 3 2 p 6+ p 2 4 1 p 6+ p 2 4 cos(x) 1 p 6+ p 2 4 p 3 2 p 2 2 1 2 p 6 p 2 4 0 p 6+ p 2 4 120 135 150 165 180 195 210 225 In this video, we learn to find the value of sin135. Given expression = cos (2π + 150°)cos (2π-30°) + sin (2π+30°) (-1/2) = cos 150° cos 30° + sin 30° (-1/2) = (-√3/2)(√3/2) + (1/2)(-1/2) = -3/4 - 1/4 = -1. sin online. The result can be shown in multiple forms. sin(330) = -1/2. If you understand the following definitions of sine, cosine and tangent you will find this whole topic very straightforward! The Trignometric Table of sin, cos, tan, cosec, sec, cot is useful to learn the common angles of trigonometrical ratios from 0° to 360°. A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle in which one full rotation is 360 degrees.. To find sin of another number, please enter the number below and press "Calculate Sin". Let the cube roots of 27(cos 330° + i sin 330°) be a, b, c a = 3[cos 110° + i sin 110°] ~ - 1.0260 + 2.8190 i a, b, c are equally spaced around 360° so they are 120° apart Without using a calculator, compute the sine and cosine of 330° by using the reference angle. sin 30 value cos 30 value tan 30 value sin 30 degree value cos 30 degrees value tan 30 degrees valuetrigonometric tablevalues of trigonometric functions Give an exact answer. The result can be shown in multiple forms. Calculate sin(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. The exact value of is . Notice csc is the inverse of sin, sec is the inverse of cos, and cot is the inverse of tan. Both are still positive. Note: 5π/3 rad can be expressed as a decimal (not a fraction) as 1.6666666666667π rad = 5.235987755983 radians. #330°# is in the #4th# quadrant. Exact Form: It is not an SI unit—the SI unit of angular measure is the radian—but it is mentioned in the SI brochure as an accepted unit. Similarly, cos(390⁰) also equal to cos(30⁰). Tan values are positive in the #1st and 3rd# quadrants and negative in the #2nd and 4th# quadrants.. Adj/Opp = Cotangent. It explains how to find the reference angle in radians and degrees. sin 30° = ½. Use your Unit Circle to help you with this one. To see the answer, pass your mouse over the colored area. Learn vocabulary, terms, and more with flashcards, games, and other study tools. The side opposite the 30 degree angle is 1 unit long for ever 2 units the hypotenuse is long. Then we know cos 30 is sqrt(3)/2 . Combine and simplify the denominator. There is also another angle , below 360 , has a sine of 0.13. How do you find the trigonometric functions of any angle? 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. x = 330 degrees means that the angle is 30 degrees below the x-axis. Make the expression negative because sine is negative in the fourth quadrant. sin(30) = 1/2. Select angle type of degrees (°) or … The answer is as follows: Tan(330) = -0.577350269190 This is the same answer you will get if you have a scientific calculator set to DEG mode and then enter 330 followed by the Tan button. To cover the answer again, click "Refresh" ("Reload"). However, they are all linked to the angle in the first quadrant. This trigonometry video tutorial provides a basic introduction into reference angles. cos(330) still = sqrt(3) / 2 because only the x- component and hypotenuse are considered. To find which angle has a sine of 0.13, you calculate arcsin or sin^-1(0.13) =7.47 degrees 7.47 degrees has a sine of 0.13. Let us take an example of cos(-30⁰). Your unit circle will give you sine and cosine of 330 degrees. Hyp/Adj = Secant. 1 Answer Dean R. Jun 2, 2018 #sin 360^\circ = sin 0^circ = 0# Answer link. Make the expression negative because sine is negative in the fourth quadrant. Opp/Adj = Tangent (tan also = sin/cos) Hyp/Opp = Cosecant. Both are equal because the reference angle for 150 is equal to 30 for the triangle formed in the unit circle. Sin 30 = sin 150 = ½. Related questions. Cos 330° Value in Radians / Degrees | Cos Values for 330° Use this simple cos calculator to calculate the cos value for 330° in radians / degrees. One needs to solve the above for sin (A) in terms … The value of sin 30 degrees and sin 150 degrees are equal. sin 9°: For example, the sine of 9 degrees is the sine of (3×3°). Trigonometry Right Triangles Trigonometric Functions of Any Angle. Plugging the angle value, in degrees, in the previous formula, we get: α rad = π × 300 /180 = . Problem 1. You can draw it. Sine calculator. Since 30 degrees lie in the first quadrant we can say that cos(-30⁰) is equal to cos(30⁰) because all the angles in the first quadrant are positive. Here we answer one simple question: What is sin (330) degrees? Find the Exact Value sec(330 degrees ) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Usually, the degrees are considered as 0°, 30°, 45°, 60°, 90°, 180°, 270° and 360°. … cos(330º) = sqrt3/2 Remember that cos(a-b) = cos(a)cos(b) + sin(a)sin(b) and that 330º = 360º - 30º, so cos(330º) = cos(360º - 30º) = cos(360º)cos(30º) + sin(360º)sin(30º) The cosine, sine, tangent and secant of 360º equal the cosine, sine, tangent and secant of 0º respectively. Here, you will learn the value for sin 90 degrees and how the values are derived along with other degrees or radian values. Why Sin 30 is equal to Sin 150. Here we answer one simple question: What is tan (330) degrees? sin(330)° cos(330)° : tan(330)° : csc(330)° = sec(330)° =… What is sin 360 degrees? Multiply by . We know that sin0º is 0, and that cos0º = 1 so cos(330º) = 1*cos(30º) + 0*sin… The value of sin, cos, and tan of some angles are equal to the values of sin, cos, and tan of other angles. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. The values of sin, cos, tan, cot at the angles of 0°, 30°, 60°, 90°, 120°, 135°, 150°, 180°, 210°, 225°, 240°, 270°, 300°, 315°, 330°, 360° What is the reference angle? π × 300÷60/180÷60 = 5π/3 radians, when reduced to lowest terms.. The exact value of is . I would say 330 is actually = -30 right? According to the property of cofunctions (Topic 3), sin 30° is equal to cos 60°. Solution for Find the exact values of the six trig functions. And so on. The exact value of is . The answer is as follows: Sin(330) = -0.500000000000 This is the same answer you will get if you have a scientific calculator set to DEG mode and then enter 330 followed by the Sin button. The sin trigonometric function to calculate the sine of an angle in radians, degrees or gradians. In order to calculate sin(x) on the calculator: Enter the input angle. Evaluate sin 60° and tan 60°. Evaluate sin 30°. sin 1°: Now, to find the sine of one degree, one needs to know sine of one third of three degrees! Description : Sine function. (answer 1, 2, 3, or 4) sin(330°) = cos(330) (Type sqrt(2) for 2 and sqrt(3) for 3.) Sine Calculator. 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°. Here I have applied sin(180 - x) = sin(x) identity to find the value of sin(135). So, with A = 3, we arrive at. You can see that directly in the figure above. #(theta)# #330° = 360°-30°# #tan 30° = 1/sqrt3# Remember: Opp/Hyp = Sine . No decimals!!! 360 360 bzw. Results for other angles can be found at Trigonometric constants expressed in real radicals.Per Niven's theorem, (,,,,,) are the only rational numbers that, taken in degrees, result in a rational sine-value for the corresponding angle within the first turn, which may account for their popularity in examples. Start studying Unit Circle - Degrees. Determine angle type: 330 is an obtuse angle since it is greater than 90° sin(330) = … The calculator allows to use most of the trigonometric functions, it is possible to calculate the sine, the cosine and the tangent of an angle through the functions of the same name.. Sine 90 degrees value