Is (sin^2(a))/(1-cos(a))=1+cos(a) ?

The answer to whether (sin^2(a))/(1-cos(a))=1+cos(a) is True

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prove (sin^2(a))/(1-cos(a))=1+cos(a)

prove

\frac{sin ^{2} ( a )}{1 - cos ( a )} = 1 + cos (a)

True

Solution steps

\frac{sin ^{2} ( a )}{1 - cos ( a )} = 1 + cos (a)

Manipulating left side

\frac{sin ^{2} ( a )}{1 - cos ( a )}

Rewrite using trig identities

= cos (a) + 1

= 1 + cos (a)

We showed that the two sides could take the same form

\Rightarrow True

tan (8 θ) - tan (8 θ) tan^{2} (4 θ) = 2 tan (4 θ)

sec (x) = \frac{cot ( x ) + tan ( x )}{csc ( x )}

(tan (x) + cot (x))^{2} = sec^{2} (x) csc^{2} (x)

cot^{2} (x) + csc^{2} (x) = 2 csc^{2} (x) - 1

(1 + tan^{2} (x)) (1 - sin^{2} (x)) = 1

Is (sin^2(a))/(1-cos(a))=1+cos(a) ?
The answer to whether (sin^2(a))/(1-cos(a))=1+cos(a) is True