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

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

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

tan^{2} (1) + sec^{2} (1) = 5.85103 \dots

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

Refine to a decimal form

= 5.85103 \dots

The two sides are not equal

\Rightarrow False

sec (x) tan (x) - sin (x) = sin (x) tan^{2} (x)

\frac{1 - cos ( 2 x )}{csc ( x )} = 2 sin^{3} (x)

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

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

\frac{cos ( β )}{1 - sin ( β )} = sec (β) + tan (β)