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

(x - 2) (x + 3) (x - 4)

2^{0.2}

2^{0 + 1}

(\frac{1}{2 ^{- 3}} - \frac{1}{2 ^{- 1}})^{- 3}

(6^{- 1})^{4}

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