# trig

posted by .

What are the values of theta in the interval 0 less than or equal to theta is less than 360 that sastify the equation sin theta - 1/2 =0?

• trig -

sinØ - 1/2 = 0
sinØ = 1/2
so Ø is in quadrants I or II
we know sin 30° = 1/2

so Ø = 30° or 150° , ( π/6 or 5π/6 radians)

## Similar Questions

1. ### Trig

Solve the following interval 0<_ (less than or equal to)0(Theta)<2pi: 1. sin0(theta) + sin2 0(theta) = 0 2. 2cos^20 (theta) + cos0 (theta) -1 = 0
2. ### 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 …
3. ### Trig

Given 2secant^2 (theta) + 1 = 5 secant (theta), solve for (theta), to the nearest degree, in the interval 0 degrees is greater than or equal to (theta) which is less than 360 degrees
4. ### algebra/trigonometry

What are the values of theta in the interval 0degrees less than or equal to theta less than or equal to 360 degrees that satisfy the equation tan theta - radical3=0
5. ### trig

what are the values of theta in the interval 0 degrees is lessthan or equal to theta is less than or equal to 360 degrees that satisfy the equation tan theta minus square root of 3 equals 0?
6. ### trig

find two values of theta, zero degrees is than or equal to theta which is less than 360 degrees, that satisfy the given trigonometric equation. tan theta equals radical 3.
7. ### trig

given that 0 is less then or equal to theta and theta is less then or equal to pi. ans cos theta = 2/squar root of 7. Find sin theta
8. ### Trigonometry

Thank you STEVE!!!!! Suppose that Cos (theta) = 1/square root 2 if 0<equal to theta , pi/2 then sin(theta) = tan (theta) = If 3pi/2 less than equal to theta , 2pi then sin(theta) = tan (theta) = I know the trig functions but I feel …
9. ### trig

i nead to find to the nearest degree all values of theta in the interval 0 x 360 that satisfy the equation 3 cos 2 theta+ sin theta-1=0
10. ### 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 …

More Similar Questions