Is (sin(x)-cos(x))^2=1+sin(2x) ?

The answer to whether (sin(x)-cos(x))^2=1+sin(2x) is False

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prove (sin(x)-cos(x))^2=1+sin(2x)

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

(sin (1) - cos (1))^{2} = 0.09070 \dots

(sin (1) - cos (1))^{2}

Refine to a decimal form

= 0.09070 \dots

1 + sin (2 \cdot 1) = 1.90929 \dots

1 + sin (2 \cdot 1)

Refine to a decimal form

= 1.90929 \dots

The two sides are not equal

\Rightarrow False

Is (sin(x)-cos(x))^2=1+sin(2x) ?
The answer to whether (sin(x)-cos(x))^2=1+sin(2x) is False