Sin(-x)= -cos x for all values of x. True or false
2 answers:
<h2>
Answer:</h2>
The given expression :
is a false expression i.e. it is not true for all the values of x.
<h2>
Step-by-step explanation:</h2>
We are asked to check whether the trignometric expression is true for all the values of x or not.
The expression is given by:

We consider x=0
Then on taking left hand side of the expression we have:

and the right hand side of the expression is:

i.e. we have:

which is false.
Hence the statement is not true for all the values of x.
Answer:
That's incorrect. The simplest way to show this is by evaluating the functions at a given point. Let's say x=0, then:
Sin(-x) = Sin(0) = 0
-cos x = -cos (0) = -1
Therefore, Sin(-x)≠-cos x.
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