SOLUTION: Develop the formula for the tangent of the sum of angles in terms of the tangent of the separate angles alpha and beta. (I know i have to use tan(alpha + beta) = sin(a + B)

Algebra ->  Trigonometry-basics -> SOLUTION: Develop the formula for the tangent of the sum of angles in terms of the tangent of the separate angles alpha and beta. (I know i have to use tan(alpha + beta) = sin(a + B)       Log On


   

Question 32484: Develop the formula for the tangent of the sum of angles in terms of the tangent of the separate angles alpha and beta. (I know i have to use
tan(alpha + beta) = sin(a + B)
----------
cos(a + B)
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
TAN(A+B)=SIN(A+B)/COS(A+B)
={SIN(A)COS(B)+COS(A)SIN(B)}/{COS(A)COS(B)-SIN(A)SIN(B)}...DIVIDING THROUGHOUT BY COS(A)COS(B) WE GET THIS
=[{SIN(A)COS(B)/COS(A)COS(B)}+{COS(A)SIN(B)/COS(A)COS(B)}]/[{COS(A)COS(B)/COS(A)COS(B)}-{SIN(A)SIN(B)/COS(A)COS(B)]
={TAN(A)+TAN(B)}/{1-TAN(A)TAN(B)}