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

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

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

\frac{1 - sec ( 1 )}{csc ( 1 )} = - 0.71593 \dots

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

Refine to a decimal form

= - 0.71593 \dots

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

cos (1) cot (1)

Refine to a decimal form

= 0.34692 \dots

The two sides are not equal

\Rightarrow False

cos (π θ) = - cos (θ)

csc (x) tan (x) sec (x) = sec^{2} (x)

tan (x) sec^{4} (x) = \frac{sin ( x )}{cos ^{5} ( x )}

csc (x) + cot (x) sec (x) - 1 = tan (x)

\frac{3 csc ( x ) - 3 sin ( x )}{tan ( x ) - cot ( x )} = 3 cos^{3} (x)

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