Is (tan^2(x))/(sec(x))=sin(tan(x)) ?

The answer to whether (tan^2(x))/(sec(x))=sin(tan(x)) is False

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prove (tan^2(x))/(sec(x))=sin(tan(x))

prove

\frac{tan ^{2} ( x )}{sec ( x )} = sin (tan (x))

False

Solution steps

\frac{tan ^{2} ( x )}{sec ( x )} = sin (tan (x))

Show that the two sides are not equal

For

\frac{tan ^{2} ( x )}{sec ( x )} = sin (tan (x))

plug in

x = 1

\frac{tan ^{2} ( 1 )}{sec ( 1 )} = 1.31051 \dots

\frac{tan ^{2} ( 1 )}{sec ( 1 )}

Refine to a decimal form

= 1.31051 \dots

sin (tan (1)) = 0.99991 \dots

sin (tan (1))

Refine to a decimal form

= 0.99991 \dots

The two sides are not equal

\Rightarrow False

sin^{2} (0) = 2 - 2 cos (0)

cos (\frac{3 π}{8}) = \frac{2 - 2}{2}

tan (a) \cdot cot (a) = sin^{2} (a) + cos^{2} (a)

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

sin (x) cos (x) = tan (x)

Is (tan^2(x))/(sec(x))=sin(tan(x)) ?
The answer to whether (tan^2(x))/(sec(x))=sin(tan(x)) is False