What is (sin(x))^2+(6+cos(x))^2 ?

The solution to (sin(x))^2+(6+cos(x))^2 is 12cos(x)+37

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simplify (sin(x))^2+(6+cos(x))^2

simplify

(sin (x))^{2} + (6 + cos (x))^{2}

12 cos (x) + 37

Solution steps

sin^{2} (x) + (6 + cos (x))^{2}

Expand

(6 + cos (x))^{2} : 36 + 12 cos (x) + cos^{2} (x)

= sin^{2} (x) + 36 + 12 cos (x) + cos^{2} (x)

Use the Pythagorean identity:

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

= 12 cos (x) + 36 + 1

Add the numbers:

36 + 1 = 37

= 12 cos (x) + 37

(x^{2} + y^{2} + 1) \frac{d x}{d y}

\frac{12 x ^{2} - 31 x + 4}{( x - 4 ) ( x ^{2} + 2 )}

(x + 4 - 1)^{2}

\frac{1 - s - e ^{- s}}{s ( s ^{2} + 4 )}

(- 5, - 6) zero

What is (sin(x))^2+(6+cos(x))^2 ?
The solution to (sin(x))^2+(6+cos(x))^2 is 12cos(x)+37