Is tan^2(y)(csc^2(y)-1)=1 ?

The answer to whether tan^2(y)(csc^2(y)-1)=1 is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove tan^2(y)(csc^2(y)-1)=1

prove

tan^{2} (y) (csc^{2} (y) - 1) = 1

True

Solution steps

tan^{2} (y) (csc^{2} (y) - 1) = 1

Manipulating left side

tan^{2} (y) (csc^{2} (y) - 1)

Express with sin, cos

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

Rewrite using trig identities

= 1

We showed that the two sides could take the same form

\Rightarrow True

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

1 - cos (θ) = sin (θ)

cos (2 π + x) = cos (x)

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

sin (x) = cos (x)

Is tan^2(y)(csc^2(y)-1)=1 ?
The answer to whether tan^2(y)(csc^2(y)-1)=1 is True