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

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

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

prove

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

True

Solution steps

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

Manipulating left side

(1 + sin (x))^{2} + cos^{2} (x)

Rewrite using trig identities

= 2 sin (x) + 2

Factor

2 + 2 sin (x) : 2 (1 + sin (x))

= (1 + sin (x)) \cdot 2

= 2 (1 + sin (x))

We showed that the two sides could take the same form

\Rightarrow True

\frac{2 - sec ^{2} ( x )}{sec ^{2} ( x )} = cos (2 x)

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

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

2 cot (2 θ) = cot (θ) - tan (θ)

7 cos^{2} (b) - 7 sin^{2} (b) = 14 cos^{2} (b) - 7

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