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

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

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

1 - tan^{2} (1) = - 1.42551 \dots

1 - tan^{2} (1)

Refine to a decimal form

= - 1.42551 \dots

sec^{2} (1) = 3.42551 \dots

sec^{2} (1)

Refine to a decimal form

= 3.42551 \dots

The two sides are not equal

\Rightarrow False

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

\frac{sec ( θ )}{sin ( θ )} = cot (θ) + tan (θ)

\frac{tan ( a )}{sec ( a )} = tan (a) cos (a)

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

\frac{tan ( X ) - sin ( X )}{sin ^{3} ( X )} = \frac{sec ( X )}{1 + cos ( X )}