Answer:
The value of [tex]\theta[/tex] is, 32 degree.
Step-by-step explanation:
Given the equation:
[tex]\sin \theta = \cos 58^{\circ}[/tex]
We have to find the value of [tex]\theta[/tex]
Using the rule:
[tex]\cos (90-\theta) = \sin \theta[/tex]
then;
[tex]\cos (90-\theta) = \cos 58^{\circ}[/tex]
Comparing both sides we have;
[tex]90^{\circ}-\theta = 58^{\circ}[/tex]
Subtract 90 from both sides we have;
[tex]-\theta = -32^{\circ}[/tex]
Simplify:
[tex]\theta = 32^{\circ}[/tex]
Therefore, the value of [tex]\theta[/tex] is, 32 degree.
