What is (cos(θ)+sin(θ))^2 ?

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

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simplify (cos(θ)+sin(θ))^2

simplify

(cos (θ) + sin (θ))^{2}

sin (2 θ) + 1

Solution steps

(cos (θ) + sin (θ))^{2}

Expand

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

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

Rewrite using trig identities

= sin (2 θ) + 1

16 x^{2} + 16 x y + 4 y^{2}

4 i^{15} \cdot 5 i^{6}

(- 7) + (- 8)

\frac{x}{x + 3} + \frac{x - 3}{x}

12 - (- 12)