Answer:
In the picture is how to solve it
Step-by-step explanation:
Answer:
We are multiplying sin theta by sec theta, so we first start with valuing sec theta. Re-evaluate sec theta as sec(theta), and get the reciprocal.
[tex]sin(theta) * \frac{1}{cos(theta)}[/tex] <-- reciprocal
Combine sin() with the reciprocal of sec theta.
[tex]\frac{sin(theta)}{cos(theta)}[/tex]
Rewrite this combination as tan(theta)
[tex]tan(theta)[/tex]
Since the sides are equal, they count as an identity.
[tex]sin(theta) * sec(theta) = tan(theta)[/tex]
That said, sin(theta) × sec(theta) = tan(theta) is an identity.
