Is (1-cos(x))(1+sec(x))=-sin(x) ?

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

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prove (1-cos(x))(1+sec(x))=-sin(x)

prove

(1 - cos (x)) (1 + sec (x)) = - sin (x)

False

Solution steps

(1 - cos (x)) (1 + sec (x)) = - sin (x)

Show that the two sides are not equal

For

(1 - cos (x)) (1 + sec (x)) = - sin (x)

plug in

x = 1

(1 - cos (1)) (1 + sec (1)) = 1.31051 \dots

(1 - cos (1)) (1 + sec (1))

Refine to a decimal form

= 1.31051 \dots

- sin (1) = - 0.84147 \dots

- sin (1)

Refine to a decimal form

= - 0.84147 \dots

The two sides are not equal

\Rightarrow False

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