Homework SourseVerify that following equation is an identity cosp qsinp q
Verify that following equation is an identity. cos(p + q)/sin(p - q) = 1 - tan p tan q/tan p - tan q![Verify that following equation is an identity. cos(p + q)/sin(p - q) = 1 - tan p tan q/tan p - tan qSolutioncos(p +q)/sin(p -q) = [ 1 - tanptanq]/[ tanp - tanq](/WebImages/8/verify-that-following-equation-is-an-identity-cosp-qsinp-q-993893-1761511394-0.webp "Verify that following equation is an identity. cos(p + q)/sin(p - q) = 1 - tan p tan q/tan p - tan qSolutioncos(p +q)/sin(p -q) = [ 1 - tanptanq]/[ tanp - tanq")
Solution
cos(p +q)/sin(p -q) = [ 1 - tanptanq]/[ tanp - tanq]
LHS : cos(p +q)/sin(p -q)
= [ cosp*cosq - sinpsinq ]/[sinpcosq - cospsinq]
Divide num and den by cosp*cosq:
= [ 1- tanptanq]/[ tanp - tanq]
= RHS
