Question

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

Answer 1

Answer:

the answer is false.

Step-by-step explanation:

Answer 2

Answer:

The given statement :

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

Step-by-step 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 $x=\dfrac{\pi}{2}$

we have:

$\sin (-\dfrac{\pi}{2})=-\cos (\dfrac{\pi}{2})\\\\i.e.\\\\-\sin (\dfrac{\pi}{2})=-\cos (\dfrac{\pi}{2})\\\\i.e.\\\\-1=0$

which is again a false identity.

Hence, we get that the given statement is False.