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.
