Is (sin^2(A))/(csc^2(A))=sin^4(A) ?

The answer to whether (sin^2(A))/(csc^2(A))=sin^4(A) is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove (sin^2(A))/(csc^2(A))=sin^4(A)

prove

\frac{sin ^{2} ( A )}{csc ^{2} ( A )} = sin^{4} (A)

True

Solution steps

\frac{sin ^{2} ( A )}{csc ^{2} ( A )} = sin^{4} (A)

Manipulating left side

\frac{sin ^{2} ( A )}{csc ^{2} ( A )}

Express with sin, cos

= sin^{4} (A)

We showed that the two sides could take the same form

\Rightarrow True

1 - tan^{4} (θ) = 2 sec^{2} (θ) - sec^{4} (θ)

(sec (x) + tan (x)) (csc (x) - 1) = cot (x)

cos (\frac{π}{2}) + 1 = sin (\frac{π}{2})

\frac{cos ^{2} ( θ )}{sin ( θ )} = csc (θ) - sin (θ)

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

Is (sin^2(A))/(csc^2(A))=sin^4(A) ?
The answer to whether (sin^2(A))/(csc^2(A))=sin^4(A) is True