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How to find theta in degrees that lies in quadrant 2 such that sin theta = 0.735. ?

1 Answer

May 1, 2018

$θ = {132.69}^{\circ}$ $theta=132.69^@$

Explanation:

.

$sin θ = 0.735$ $sintheta=0.735$

$θ = arcsin (0.735) = {47.31}^{\circ}$ $theta=arcsin(0.735)=47.31^@$

But this angle in in quadrant $I$ $I$ .

The angle in quadrant $I I$ $II$ that has the same $sin$ $sin$ value is:

$180^{\circ} - θ = 180^{\circ} - {47.31}^{\circ} = {132.69}^{\circ}$ $180^@-theta=180^@-47.31^@=132.69^@$

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