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

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

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simplify (sin(x)+cos(x))^2

simplify

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

sin (2 x) + 1

Solution steps

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

Expand

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

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

Rewrite using trig identities

= sin (2 x) + 1

4 x^{2} + 39 x + 27

sin (h) (0)

- 16 (0.0313) + 20 (0.0313) + 4

3^{l o g_{3} (18)}

x^{2} (x - 3) - 7 (2 x + 5) x^{2}