# Precalculus

posted by .

Find all solutions to 2 cos(theta) = - 1 on the interval 0 less than or equal to theta less than 2 pi

Give your answers as exact values, as a list separated by commas.

• Precalculus -

cosine is negative in II or III
and I know cos 60° = cosØ/3 = 1/2

so for your cosØ = -1/2

Ø = 180-60 =120° or Ø = 180+60 = 240°
Ø = 2π/3 or Ø = 4π/3

## Similar Questions

1. ### Precalculs

I have no idea how to do these type of problems. -------Problem-------- Solve each equation on the interval 0 less than or equal to theta less than 2 pi 42. SQRT(3) sin theta + cos theta = 1 ---------------------- There is an example …
2. ### Math

1. Let (-7, 4) be a point on the terminal side of (theta). Find the exact values of sin(theta), csc(theta), and cot(theta). 2. Let (theta) be an angle in quadrant IV such that sin(theta)=-2/5. Find the exact values of sec(theta) and …
3. ### Precalculus

Find all solutions to 2 sin(theta) = sqrt(2) on the interval 0 less than or equal to theta less than 2 pi Give your answers as exact values, as a list separated by commas.
4. ### Precalculus

Find two values for theta such that theta is greater than or equal to 0 but less than or equal to 2pi. 1. Tan theta=1.1071 2. Sin theta = -0.8818
5. ### Precalculus

Find two values for theta such that theta is greater than or equal to 0 but less than or equal to 2pi. 1. Tan theta=1.1071 2. Sin theta = -0.8818
6. ### Math

Sin theta = 1/4, what is sec theta?, tan theta?
7. ### Math Trig Help

sin theta = x/3, with theta in the first quadrant, find the expression for cos theta and tan theta. Answers will be in algebraic terms of x. Give exact answers with 0 < theta <pi/2 (0 less than or equal to theta, less than or …

Find exact values for all the solutions to the equation cos theta = sqrt 3/2 for -2pi <= theta <= 2pi Theta = Theta = Theta = Theta =
9. ### Pre-Calculus

Find two exact values of theta in degrees (0 less than or equal to theta < 360°) if cos theta = -(square root of 2)/2.
10. ### Calculus

Find all solutions to tan(theta)=1/sqroot(3). In the interval 0 less then or equal to theta less then or equal to 2pi. Theta=

More Similar Questions