Is tan^2(x)+sec^2(x)=1+2tan^2(x) ?

The answer to whether tan^2(x)+sec^2(x)=1+2tan^2(x) is True

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prove tan^2(x)+sec^2(x)=1+2tan^2(x)

prove

tan^{2} (x) + sec^{2} (x) = 1 + 2 tan^{2} (x)

True

Solution steps

tan^{2} (x) + sec^{2} (x) = 1 + 2 tan^{2} (x)

Manipulating left side

tan^{2} (x) + sec^{2} (x)

Rewrite using trig identities

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

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

We showed that the two sides could take the same form

\Rightarrow True

\frac{sin ( 2 a )}{1 + cos ( 2 a )} = tan (a)

tan (x) = tan (x + π)

1 + csc (a) = csc (a) (1 + sin (a))

1 + cot (θ) = csc (θ) (cos (θ) + sin (θ))

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

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