Is sin^2(x)+4sin(x)+4=(sin(x)+2)^2 ?

The answer to whether sin^2(x)+4sin(x)+4=(sin(x)+2)^2 is True

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prove sin^2(x)+4sin(x)+4=(sin(x)+2)^2

prove

sin^{2} (x) + 4 sin (x) + 4 = (sin (x) + 2)^{2}

True

Solution steps

sin^{2} (x) + 4 sin (x) + 4 = (sin (x) + 2)^{2}

Manipulating right side

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

Expand

(2 + sin (x))^{2} : 4 + 4 sin (x) + sin^{2} (x)

= 4 + sin^{2} (x) + 4 sin (x)

= sin^{2} (x) + 4 sin (x) + 4

We showed that the two sides could take the same form

\Rightarrow True

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

(1 - sin (2 a)) (1 + tan (2 a)) = 1

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

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

sin (y) csc (y) = 1

Is sin^2(x)+4sin(x)+4=(sin(x)+2)^2 ?
The answer to whether sin^2(x)+4sin(x)+4=(sin(x)+2)^2 is True