establish the reductions formula using the sum and difference identities.

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

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

hartnn · Answer

u know the sum and diff. identities ?

anonymous · Answer

nope

hartnn · Answer

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 ?

hartnn · Answer

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

anonymous · Answer

what is the value?

hartnn · Answer

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

anonymous · Answer

should the answers the exact value?

hartnn · Answer

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