Is cos(a)tan(a)=sin(a) ?

The answer to whether cos(a)tan(a)=sin(a) is True

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prove cos(a)tan(a)=sin(a)

prove

cos (a) tan (a) = sin (a)

True

Solution steps

cos (a) tan (a) = sin (a)

Manipulating left side

cos (a) tan (a)

Express with sin, cos

= sin (a)

We showed that the two sides could take the same form

\Rightarrow True

sin (\frac{π}{6}) = \frac{1}{2}

cot (2 x) = \frac{1}{2} cot (x) - \frac{1}{2} tan (x)

(sin (t) - cos (t))^{2} = 1 - sin (2 t)

(1 - sin (θ)) (1 + sin (θ)) = \frac{1}{sec ^{2} ( θ )}

sin (θ) = \frac{2 tan ( \frac{θ}{2} )}{1 + tan ^{2} ( \frac{θ}{2} )}