Posted by **Matt** on Tuesday, January 8, 2013 at 10:58pm.

Solve sin θ = -0.204 for 90º < θ < 270º. Give your answer to the nearest tenth of a degree.

Honestly have no idea how to do this.

- trig -
**Reiny**, Tuesday, January 8, 2013 at 11:23pm
so Ø must be in quadrant II or III , but in II the sine would be positive,

so Ø is in III

get the "angle in standard position" by using +.204

sin^-1 (.204) = 11.77°

so in III, the angle is 180 + 11.77

= **191.77°**

= **191.8°** correct to one decimal

check with your calculator:

sin 191.77 = -.20398.. , ok then !

## Answer this Question

## Related Questions

- trig - Solve sin ¥è = -0.204 for 90¨¬ < ¥è < 270¨¬. Give your answer to ...
- Trig - Use a calculator to find θ to the nearest tenth of a degree, if 0° &...
- Math - Calculus - The identity below is significant because it relates 3 ...
- Trigonometry - Solve for θ in the equation cos θ = -0.181 when 180º &...
- Trig - Find all solutions in the interval 0 degrees<θ<360 degrees. If...
- trig - Solve the equation sinθ=0.3 to the nearest tenth. Use the ...
- math trigono - 1. If tanθ = –√3 , what is the value of cot ? 2. ...
- Help please Trig - Given sinθ=0.76, find θ in degrees to the nearest ...
- Precalc/Trig - Sorry there are quite a few problems, but I just need to know if ...
- Trig - Given that csc θ = -4 and tan θ > 0, find the exact value of...