Is sec(θ)*sin(θ)=tan(θ) ?

The answer to whether sec(θ)*sin(θ)=tan(θ) is True

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prove sec(θ)*sin(θ)=tan(θ)

prove

sec (θ) \cdot sin (θ) = tan (θ)

True

Solution steps

sec (θ) sin (θ) = tan (θ)

Manipulating left side

sec (θ) sin (θ)

Express with sin, cos

= \frac{sin ( θ )}{cos ( θ )}

Use the basic trigonometric identity:

\frac{sin ( θ )}{cos ( θ )} = tan (θ)

= tan (θ)

We showed that the two sides could take the same form

\Rightarrow True

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