Is cot(θ)+tan(θ)=2csc(2θ) ?

The answer to whether cot(θ)+tan(θ)=2csc(2θ) is True

Popular >

prove cot(θ)+tan(θ)=2csc(2θ)

prove

cot (θ) + tan (θ) = 2 csc (2 θ)

True

Solution steps

cot (θ) + tan (θ) = 2 csc (2 θ)

Manipulating left side

cot (θ) + tan (θ)

Express with sin, cos

= \frac{cos ^{2} ( θ ) + sin ^{2} ( θ )}{cos ( θ ) sin ( θ )}

Rewrite using trig identities

= \frac{2}{sin ( 2 θ )}

Rewrite using trig identities

2 csc (2 θ)

We showed that the two sides could take the same form

\Rightarrow True

tan^{2} (a) - sin^{2} (a) = tan^{2} (a) sin^{2} (a)

cos (x) (tan (x) - sec (- x)) = sin (x) - 1

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

sec^{2} (θ) - tan^{2} (θ) = 1

\frac{1 + tan ^{2} ( x )}{tan ^{2} ( x )} = csc^{2} (x)

Is cot(θ)+tan(θ)=2csc(2θ) ?
The answer to whether cot(θ)+tan(θ)=2csc(2θ) is True