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

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

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

prove

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

True

Solution steps

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

Manipulating left side

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

Rewrite using trig identities

= 2 sin (x) + 2

We showed that the two sides could take the same form

\Rightarrow True

3 tan (x) = 4 sin (x)

sin (x) + cos (x) = 2 sin (x + \frac{π}{4})

(sin (t)) cot (t) = cos (t)

(1 - tan^{2} (x)) \cdot cos^{2} (x) = cos (2 x)

cot^{2} (x) - 1 = tan^{2} (x)

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