Question

Which expression is equivalent to sine startfraction 7 pi over 6 endfraction?

Answer 1

The equivalent expression to the given one is -sin(pi/6).

Which expression is equivalent to the given one?

The given expression is:

sin(7pi/6)

Where the argument is in radians.

Remember that:

sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)

Now we can rewrite:

sin(7pi/6) = sin(pi + pi/6)

Then we can use the above relation to rewrite:

sin(pi + pi/6) = sin(pi)*cos( pi/6) + sin(pi/6)*cos(pi)

And we know that:

sin(pi) = 0

cos(pi) = -1

Then we can write:

sin(7pi/6) = - sin(pi/6)

If you want to learn more about the sine function:

brainly.com/question/9565966

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