Home
Class 12
MATHS
Show that ((sinA+sinB)/(cosA+cosB))^(n...

Show that
`((sinA+sinB)/(cosA+cosB))^(n) + ((cosA-cosB)/(sinA-sinB))^(n)`
`= 2 "tan"^(n) (A+B)/2` when n is an even integer,
0, when n is an odd integer.

Promotional Banner

Similar Questions

Explore conceptually related problems

(sinA-sinB)/(cosA+cosB)+(cosA-cosB)/(sinA+sinB)=0 .

(sinA+sinB)/(cosA-cosB)+(cosA+cosB)/(sinA-sinB)=?

(sinA-sinB)/(cosA+cosB) is equal to

Prove that (sin A+sinB)/(cosB-cosA)=(cos A+cosB)/(sinA-sinB) .

(cosA+cosB)^2+(sinA-sinB)^2 is equal to

Prove that (sinA+sinB)/(cosA+cosB)=tan((A+B)/2)

Prove that (sinA + sinB)/(cosA + cosB)= tan((A+B)/2)

Prove that following identities (sinA-sinB)/(cosA+cosB)+(cosA-cosB)/(sinA+sinB)=0

Prove the following identity : (sin A-sin B)/(cosA+ cosB)+ (cosA-cosB)/(sinA+sinB)=0 .

Prove that : (sinA+sinB)/(cosA+cosB)= tan frac (A+B)(2) .