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)

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) (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)}
RELATED QUESTIONS
Develop the formula for the tangent of the sum of angles in terms of the tangent of the... (answered by Fermat)

if sin(alpha) = 0.954 and sin(beta) = 0.306 with both angles' terminal rays in quadrant... (answered by ikleyn)

Derive the formula for: {{{sin(alpha+beta+gamma)}}} in terms of functions of... (answered by Fombitz)

Find the Exact value (No Decimals) of sin(105 degrees) using the sum or difference... (answered by Theo)

if alpha and beta are the measures of two first quadrant angles and tan alpha = 4/5 and... (answered by lwsshak3)

Can someone please help me with this question?! Thank you! If cos(alpha)=0.228 and... (answered by greenestamps)

Can someone please help me with this question?! Thank you! If cos(alpha)=0.885 and... (answered by Solver92311)

in the inreval [0,2pi], which angles have a tangent of... (answered by Fombitz)

the roots of 2x^2 +3x-1=0 are alpha and beta. Find the values of alpha square -beta... (answered by MathLover1)