if A = 60 B =30 then cos ( A - B )= cos A cos B and sin A sin B
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Answer:
Step-by-step explanation:
The correct answer is:
A = 60 and B = 30
LHS
Sin (A+B) / cos A cos B
Put the values of A and B
= Sin(60+30) / cos 60 * cos 30
= Sin 90 / cos 60 * cos 30
= 1/ (1/2)*(√3/2)
= 1/ (√3/4)
= 4/√3
Now,
RHS
Tan A + Tan B
Put the values of A and B
= Tan 60 + Tan 30
= √3 + 1/√3
= (3+1)/√3
= 4/√3
Here, LHS = RHS
So, sin (A+B)/cos A cos B = Tan A + Tan B (pvd)
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