Question

Sin(-x)=-cosx for all values of x.

Answer 1

the answer is false.

Explanation:

Answer 2

The given statement :

`\sin (-x)=-\cos x` is a False statement.

Explanation:

We are given a statement as:

`\sin (-x)=-\cos x` for all the values of x.

But this expression is not correct.

for example if we take x=0

then we have:

`\sin (0)=-\cos (0)\\\\i.e.\\\\0=-1`

which is incorrect.

Also, when
`x=(\pi)/(2)`

we have:

`\sin (-(\pi)/(2))=-\cos ((\pi)/(2))\\\\i.e.\\\\-\sin ((\pi)/(2))=-\cos ((\pi)/(2))\\\\i.e.\\\\-1=0`

which is again a false identity.

Hence, we get that the given statement is False.