Is (tan(θ)+cot(θ))sin(θ)cos(θ)=1 ?

The answer to whether (tan(θ)+cot(θ))sin(θ)cos(θ)=1 is True

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prove (tan(θ)+cot(θ))sin(θ)cos(θ)=1

prove

(tan (θ) + cot (θ)) sin (θ) cos (θ) = 1

True

Solution steps

(tan (θ) + cot (θ)) sin (θ) cos (θ) = 1

Manipulating left side

(tan (θ) + cot (θ)) sin (θ) cos (θ)

Express with sin, cos

= cos^{2} (θ) + sin^{2} (θ)

Rewrite using trig identities

= 1

We showed that the two sides could take the same form

\Rightarrow True

3 (tan (x)) + 12 = 3

2 cos (x) tan (x) cot (x) = 2

sin (θ) = 0.2

sec (2 x) = \frac{csc ( x )}{csc ( x ) - 2 sin ( x )}

(1 - cos^{2} (θ)) (csc^{2} (θ)) = 1

Is (tan(θ)+cot(θ))sin(θ)cos(θ)=1 ?
The answer to whether (tan(θ)+cot(θ))sin(θ)cos(θ)=1 is True