Is sin(θ)-1/(sin(θ))=cos(θ) ?

The answer to whether sin(θ)-1/(sin(θ))=cos(θ) is False

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prove sin(θ)-1/(sin(θ))=cos(θ)

prove

sin (θ) - \frac{1}{sin ( θ )} = cos (θ)

False

Solution steps

sin (θ) - \frac{1}{sin ( θ )} = cos (θ)

Show that the two sides are not equal

For

sin (θ) - \frac{1}{sin ( θ )} = cos (θ)

plug in

θ = 1

sin (1) - \frac{1}{sin ( 1 )} = - 0.34692 \dots

sin (1) - \frac{1}{sin ( 1 )}

Refine to a decimal form

= - 0.34692 \dots

cos (1) = 0.54030 \dots

cos (1)

Refine to a decimal form

= 0.54030 \dots

The two sides are not equal

\Rightarrow False

p ro v e cos^{8} (x) = sin^{7} (x) cos^{1} (x)

p ro v e (cot (x) + 1)^{2} - 2 cot (x) = csc^{2} (x)

p ro v e cos (θ) = \frac{1}{3}

p ro v e sec (θ) - \frac{tan ( θ )}{csc ( θ )} = cos (θ)

p ro v e sec^{2} (x) = (1 + tan^{2} (x))

Is sin(θ)-1/(sin(θ))=cos(θ) ?
The answer to whether sin(θ)-1/(sin(θ))=cos(θ) is False