Is sec(θ)sin(θ)cot(θ)=1 ?

The answer to whether sec(θ)sin(θ)cot(θ)=1 is True

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prove sec(θ)sin(θ)cot(θ)=1

prove

sec (θ) sin (θ) cot (θ) = 1

True

Solution steps

sec (θ) sin (θ) cot (θ) = 1

Manipulating left side

sec (θ) sin (θ) cot (θ)

Express with sin, cos

= 1

We showed that the two sides could take the same form

\Rightarrow True

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

\frac{tan ^{2} ( θ )}{sin ^{2} ( θ )} - 1 = tan^{2} (θ)

csc (θ) cos^{2} (θ) + sin (θ) = csc (θ)

sec (θ + \frac{π}{2}) = csc (θ)

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