Which sum or difference identity could be used to prove that sin (pie + q) = - sin q

Question

Mathematics

Kissy

1 February, 23:53

Which sum or difference identity could be used to prove that sin (pie + q) = - sin q

+1

Answers (1)

Know the Answer?

Jadiel Payne · Answer 1

see below

Step-by-step explanation:

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

sin (π+q) = sin (π) cos (q) + cos (π) sin (q)

sin (π) = 0

cos (π) = - 1

therefore

sin (π+q) = 0*cos (q) - sin (q) = - sin (q)