Is 2cos^2(a)=(1+sec(2a))cos(2a) ?

The answer to whether 2cos^2(a)=(1+sec(2a))cos(2a) is True

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prove 2cos^2(a)=(1+sec(2a))cos(2a)

prove

2 cos^{2} (a) = (1 + sec (2 a)) cos (2 a)

True

Solution steps

2 cos^{2} (a) = (1 + sec (2 a)) cos (2 a)

Manipulating right side

(1 + sec (2 a)) cos (2 a)

Express with sin, cos

= 1 + cos (2 a)

Rewrite using trig identities

= 2 cos^{2} (a)

We showed that the two sides could take the same form

\Rightarrow True

sec (a) - sin (a) tan (a) = cos (a)

\frac{cos ( t )}{sec ( t ) - tan ( t )} = 1 + sin (t)

sin (\frac{13 π}{2} + x) = cos (x)

tan^{2} (- θ) + 1 = sec^{2} (θ)

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

Is 2cos^2(a)=(1+sec(2a))cos(2a) ?
The answer to whether 2cos^2(a)=(1+sec(2a))cos(2a) is True