Is sin^2(x)sec^2(x)= 1/(cot^2(x)) ?

The answer to whether sin^2(x)sec^2(x)= 1/(cot^2(x)) 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(x)sec^2(x)= 1/(cot^2(x))

prove

sin^{2} (x) sec^{2} (x) = \frac{1}{cot ^{2} ( x )}

True

Solution steps

sin^{2} (x) sec^{2} (x) = \frac{1}{cot ^{2} ( x )}

Manipulating right side

\frac{1}{cot ^{2} ( x )}

Express with sin, cos

= \frac{sin ^{2} ( x )}{cos ^{2} ( x )}

Rewrite using trig identities

sin^{2} (x) sec^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

sin (x) = cos (x)

sin (x) tan (x) cot^{2} (x) = cos (x)

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

cos (a - b) - cos (a + b) = 2 sin (a) sin (b)

tan (θ) sin (θ) = sec (θ) - cos (θ)

Is sin^2(x)sec^2(x)= 1/(cot^2(x)) ?
The answer to whether sin^2(x)sec^2(x)= 1/(cot^2(x)) is True