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

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

sec^{2} (x) - tan^{2} (x)

(- 1 - i 3)^{- 4}

1 + cot^{2} (x)

\frac{35000}{4 π \cdot ( 7.5 \cdot 1 0 ^{- 3} ) ^{2}}