Is 1/(tan(α))*1/(cos(α))= 1/(sin(α)) ?

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

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prove 1/(tan(α))*1/(cos(α))= 1/(sin(α))

prove

\frac{1}{tan ( α )} \cdot \frac{1}{cos ( α )} = \frac{1}{sin ( α )}

True

Solution steps

\frac{1}{tan ( α )} \cdot \frac{1}{cos ( α )} = \frac{1}{sin ( α )}

Manipulating left side

\frac{1}{tan ( α )} \frac{1}{cos ( α )}

Express with sin, cos

= \frac{1}{sin ( α )}

We showed that the two sides could take the same form

\Rightarrow True

\frac{cot ^{2} ( x )}{cos ^{2} ( x )} = csc^{2} (x)

cos (x) - 1 = \frac{cos ( 2 x ) - 1}{2 ( cos ( x ) + 1 )}

sec (x) = arccos (x)

tan (θ) + sin (θ) = 4 (1 + cos (θ))

\frac{2}{cot ( x ) tan ( x )} = sin (2 x)

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