What is expand (1+cos(x))^2+sin^2(x) ?

The solution to expand (1+cos(x))^2+sin^2(x) is 2cos(x)+2

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expand (1+cos(x))^2+sin^2(x)

expand

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

2 cos (x) + 2

Solution steps

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

Expand

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

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

Rewrite using trig identities

= 2 cos (x) + 2

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

6 e^{x} - 3 (e^{x} x^{2} + 2 x e^{x})

(0.5 e^{x} + 0.5) (0.5 e^{- x} + 0.5)

\frac{3}{( 1 + x ) ( 2 x - 1 )}

2 (- sin (a) cos (3 a) - 3 cos (a) sin (3 a)) + sin (2 a)

What is expand (1+cos(x))^2+sin^2(x) ?
The solution to expand (1+cos(x))^2+sin^2(x) is 2cos(x)+2