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

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

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

simplify

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

2

Solution steps

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

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

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

= sin (2 x) + 1 - sin (2 x) + 1

Group like terms

= sin (2 x) - sin (2 x) + 1 + 1

Add similar elements:

sin (2 x) - sin (2 x) = 0

= 1 + 1

Add the numbers:

1 + 1 = 2

= 2

\frac{12}{9}

e^{4 l n (x)}

\frac{12}{2}

12 \div 2

(2 x + y) (2 x - y)

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