Question

establish the reductions formula using the sum and difference identities.

1. sin((3pi/2)- x)= -cos x
2. cot((-7pi/2) - x)= tan x

Answer 1

u know the sum and diff. identities ?

Answer 2

nope

Answer 3

ok,
sin (A-B) = sin A cos B -cos A sin B
now put,
A=3pi/2, B=x
so,
sin(3pi/2-x)=sin (3pi/2) cos x - cos (3pi/2) sin x
=....................
can u solve further ?

Answer 4

know the values of sin(3pi/2) and cos (3pi/2) ?

Answer 5

what is the value?

Answer 6

sin(3pi/2)=-1, cos(3pi/2)=0.
put these values and tell me what u get as right side......

Answer 7

should the answers the exact value?