Question

For what value of θ, in degrees, is sin θ = cos 58°

Answer 1

Look at the figure below.

Answer 2

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

Answer 3

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