Is 1/(cos(θ))=(tan(θ))/(sin(θ)) ?

The answer to whether 1/(cos(θ))=(tan(θ))/(sin(θ)) is True

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prove 1/(cos(θ))=(tan(θ))/(sin(θ))

prove

\frac{1}{cos ( θ )} = \frac{tan ( θ )}{sin ( θ )}

True

Solution steps

\frac{1}{cos ( θ )} = \frac{tan ( θ )}{sin ( θ )}

Manipulating right side

\frac{tan ( θ )}{sin ( θ )}

Express with sin, cos

= \frac{1}{cos ( θ )}

We showed that the two sides could take the same form

\Rightarrow True

(tan (y) + cot (y)) sin (y) cos (y) = 1

sin (x) \cdot cot (x) = cos (x)

(csc (θ) - cot (θ)) (csc (θ) + cot (θ)) = 1

1 + sin (x) cot (x) = 1 + cos (x)

\frac{cos ( x )}{sin ( x ) cot ( x )} = 1

Is 1/(cos(θ))=(tan(θ))/(sin(θ)) ?
The answer to whether 1/(cos(θ))=(tan(θ))/(sin(θ)) is True