## anonymous one year ago For what value of θ, in degrees, is sin θ = cos 58°

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1. mathstudent55

Look at the figure below. |dw:1435253122373:dw|

2. mathstudent55

Using $$\sin \theta = \dfrac{opp}{hyp}$$, can you tell what is sin A?

3. ParthKohli

$\cos(90^{\circ}- \theta )= \cos (58^{\circ})$$\Rightarrow 90^\circ - \theta = 360^\circ \pm 58^\circ$