Question

prove that tan 50=tan 40 + 2 tan 10
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Answer 1

Answer:2 tan 10

Step-by-step explanation:

tan (A - B)= (tan A - tan B) / (1 + tanA tanB)

A=50. B=40 deg.

Tan 50 = cot (90-50)=1/tan40.

LHS = tan(50-40) * (1+ tan50*tan40)

= tan10 * (1+1)

= 2 tan 10.