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

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

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

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

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

Refine to a decimal form

= 0.09070 \dots

The two sides are not equal

\Rightarrow False

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