Is sin^2(x)(cot^2(x)+1)=1 ?

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

prove

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

True

Solution steps

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

Manipulating left side

sin^{2} (x) (cot^{2} (x) + 1)

Express with sin, cos

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

Rewrite using trig identities

= 1

We showed that the two sides could take the same form

\Rightarrow True

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

cos (x + \frac{π}{6}) + sin (x - \frac{π}{3}) = 0

tanh^{2} (x) + sech^{2} (x) = 1

\frac{cos ( θ ) sec ( θ )}{cot ( θ )} = tan (θ)

csc^{2} (u) - cos (u) sec (u) = cot^{2} (u)

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