Question

A counterexample for the expression sec(theta)/tan(theta)=sin(theta) is 45 degrees true of false

Answer 1

Its TRUE!

Step-by-step explanation:

I just took the test!

Answer 2

A counterexample for the expression secФ / tanФ = sinФ is 45°
This is a FALSE statement.

Step-by-step explanation:

Solving Right-hand side:

SecФ = 1 / CosФ

tanФ = SinФ / CosФ

secФ/tanФ = 1 / CosФ ÷ SinФ / CosФ

secФ/tanФ = 1 / CosФ × CosФ/SinФ

secФ/tanФ = CosФ / SinФCosФ

secФ/tanФ = 1 / SinФ

Hence,
Left-hand side ≠ Right-hand side