Math, asked by lekha282006, 10 months ago

if A = 60 B =30 then cos ( A - B )= cos A cos B and sin A sin B

Answers

Answered by raiaantony74
1

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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