Is sin(x)=sqrt(1-cos(x)) ?

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

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prove sin(x)=sqrt(1-cos(x))

prove

sin (x) = 1 - cos (x)

False

Solution steps

sin (x) = 1 - cos (x)

Show that the two sides are not equal

For

sin (x) = 1 - cos (x)

plug in

x = 1

sin (1) = 0.84147 \dots

sin (1)

Refine to a decimal form

= 0.84147 \dots

1 - cos (1) = 0.67801 \dots

1 - cos (1)

Refine to a decimal form

= 0.67801 \dots

The two sides are not equal

\Rightarrow False

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