How do you use the unit circle to find the values of the six trigonometric functions for 150 degrees?

How do you use the unit circle to find the values of the six trigonometric functions for 150 degrees?

1 Answer

1. sin(150)=sin(180−30)=sin30=12.
2. csc(150)=1sin(150)=2.
3. cos(150)=–cos(30)=−√32.
4. sec(150)=1cos(150)=−2√3.
5. tan(150)=−tan(30)=−√33.
6. cot(150)=1tan(150)=−√3.

How do you find the exact value of the six trigonometric functions of an angle?

1 Answer

1. cos120∘=cos(180∘−60∘)=−cos60∘=−12.
2. tan120∘=tan(180∘−60∘)=−tan60∘=−√3.
3. cot120∘=cot(180∘−60∘)=−cot60∘=−1√3.

How do you find the value of a trigonometric function?

Sin θ = tan θ/sec θ Cos θ = sin θ/tan θ Sec θ = tan θ/sin θ Cosec θ = sec θ/tan θ…Now, the formulas for other trigonometry ratios are:

1. Cot θ = 1/tan θ = Adjacent side/ Side opposite = AB/BC.
2. Sec θ = 1/Cos θ = Hypotenuse / Adjacent side = AC / AB.
3. Cosec θ = 1/Sin θ = Hypotenuse / Side opposite = AC / BC.

How do you find the value of a unit circle?

Unit circle coordinates: The unit circle, showing coordinates and angle measures of certain points. We can find the coordinates of any point on the unit circle. Given any angle t , we can find the x – or y -coordinate at that point using x=cos t x = cos t and y=sin t y = sin t .

How do you find the value of sin 210?

How to Find the Value of Sin 210 Degrees? The value of sin 210 degrees can be calculated by constructing an angle of 210° with the x-axis, and then finding the coordinates of the corresponding point (-0.866, -0.5) on the unit circle. The value of sin 210° is equal to the y-coordinate (-0.5). ∴ sin 210° = -0.5.

How do you solve trigonometric functions?

Overview

1. Put the equation in terms of one function of one angle.
2. Write the equation as one trig function of an angle equals a constant.
3. Write down the possible value(s) for the angle.
4. If necessary, solve for the variable.
5. Apply any restrictions on the solution.

What are the values of trigonometric functions?

Explanation: Trigonometric functions are equal to 0, 1, -1 or undefined when the angle lies on an axis, meaning that the angle is equal to 0, 90, 180 or 270 degrees (0, (pi)/2, pi or 3(pi)/2 in radians.) Trigonometric functions are undefined when they represent fractions with denominators equal to zero.

How do you find 6 trig functions of 120 degrees?

1 Answer

1. sin(120o)=√32.
2. cos(120o)=−12.
3. tan(120o)=−√3.
4. csc(120o)=2√3.
5. sec(120o)=−2.
6. cot(120o)=−1√3.