Is (1+sin(θ))^2+cos^2(θ)=2(1+sin(θ)) ?

The answer to whether (1+sin(θ))^2+cos^2(θ)=2(1+sin(θ)) is True

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prove (1+sin(θ))^2+cos^2(θ)=2(1+sin(θ))

prove

(1 + sin (θ))^{2} + cos^{2} (θ) = 2 (1 + sin (θ))

True

Solution steps

(1 + sin (θ))^{2} + cos^{2} (θ) = 2 (1 + sin (θ))

Manipulating left side

(1 + sin (θ))^{2} + cos^{2} (θ)

Rewrite using trig identities

= 2 sin (θ) + 2

Factor

2 + 2 sin (θ) : 2 (1 + sin (θ))

= (1 + sin (θ)) \cdot 2

= 2 (1 + sin (θ))

We showed that the two sides could take the same form

\Rightarrow True

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

sin (\frac{x}{3}) cos (\frac{x}{3}) = \frac{1}{2} sin (\frac{2 x}{3})

\frac{1 + sec ( A )}{tan ( A ) + sin ( A )} = csc (A)

sin (x) = csc (x) - cos (x) cot (x)

sin (θ) tan (θ) = sec (θ) - cos (θ)

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