Is (1+csc(x))/(sec(x))=cot(x)cos(x) ?

The answer to whether (1+csc(x))/(sec(x))=cot(x)cos(x) is False

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prove (1+csc(x))/(sec(x))=cot(x)cos(x)

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

\frac{1 + csc ( 1 )}{sec ( 1 )} = 1.18239 \dots

\frac{1 + csc ( 1 )}{sec ( 1 )}

Refine to a decimal form

= 1.18239 \dots

cot (1) cos (1) = 0.34692 \dots

cot (1) cos (1)

Refine to a decimal form

= 0.34692 \dots

The two sides are not equal

\Rightarrow False

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4 sin (x) cos (x) cos (2 x) = sin (4 x)

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

Is (1+csc(x))/(sec(x))=cot(x)cos(x) ?
The answer to whether (1+csc(x))/(sec(x))=cot(x)cos(x) is False