Question

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

Answer 1

Hope you can see and understand what I wrote

Answer 2

Answer:

The value of $\theta$ is, 32 degree.

Step-by-step explanation:

Given the equation:

$\sin \theta = \cos 58^{\circ}$

We have to find the value of $\theta$

Using the rule:

$\cos (90-\theta) = \sin \theta$

then;

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

Comparing both sides we have;

$90^{\circ}-\theta = 58^{\circ}$

Subtract 90 from both sides we have;

$-\theta = -32^{\circ}$

Simplify:

$\theta = 32^{\circ}$

Therefore, the value of $\theta$ is, 32 degree.