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

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

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prove csc^2(x)+cot^2(x)=1+2cot^2(x)

prove

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

True

Solution steps

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

Manipulating left side

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

Rewrite using trig identities

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

We showed that the two sides could take the same form

\Rightarrow True

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

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

cos^{2} (A) tan^{2} (A) = sin^{2} (A)

(1 - cos (x)) (1 + sec (x)) = sin (x)

csc (y) cos^{2} (y) + sin (y) = csc (y)

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