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

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

prove

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

True

Solution steps

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

Manipulating left side

cot^{2} (x) + csc^{2} (x)

Rewrite using trig identities

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

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

We showed that the two sides could take the same form

\Rightarrow True

sin (a) sec (a) tan (a) + 1 = sec^{2} (a)

\frac{tan ( y ) + cot ( y )}{csc ( y )} = sec (y)

\frac{sec ^{2} ( a ) - 1}{sec ^{2} ( a )} = sin^{2} (a)

\frac{1}{sec ( x )} = sec (x) - tan (x) \cdot sin (x)

2 sin^{2} (x) - sin (x) - 1 = 0

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