Is sec(θ)tan(θ)=sin(θ)sec^2(θ) ?

The answer to whether sec(θ)tan(θ)=sin(θ)sec^2(θ) is True

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prove sec(θ)tan(θ)=sin(θ)sec^2(θ)

prove

sec (θ) tan (θ) = sin (θ) sec^{2} (θ)

True

Solution steps

sec (θ) tan (θ) = sin (θ) sec^{2} (θ)

Manipulating left side

sec (θ) tan (θ)

Express with sin, cos

= \frac{sin ( θ )}{cos ^{2} ( θ )}

Rewrite using trig identities

sec^{2} (θ) sin (θ)

= sin (θ) sec^{2} (θ)

We showed that the two sides could take the same form

\Rightarrow True

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

cot (2 θ) = \frac{csc ^{2} ( θ ) - 2}{2 cot ( θ )}

tan (θ + \frac{π}{4}) = \frac{1 + tan ( θ )}{1 - tan ( θ )}

tan (θ) = \frac{1}{cot ( θ )}

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

Is sec(θ)tan(θ)=sin(θ)sec^2(θ) ?
The answer to whether sec(θ)tan(θ)=sin(θ)sec^2(θ) is True