Is (1-cos^2(θ))/(sin(θ))=sin(θ) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove (1-cos^2(θ))/(sin(θ))=sin(θ)

prove

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

True

Solution steps

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

Manipulating left side

\frac{1 - cos ^{2} ( θ )}{sin ( θ )}

Rewrite using trig identities

= sin (θ)

We showed that the two sides could take the same form

\Rightarrow True

1 + sec^{2} (x) \cdot sin^{2} (x) = sec^{2} (x)

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

sin (x) cos (x) = sin (x)

cos (3 x) = cos (x) (cos^{2} (x) - 3 sin^{2} (x))

(sec (x) - 1) (sec (x) + 1) \cdot cot^{2} (x) = 1

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