Question

if A=60 and B=30 prove that tan (A - B)=tan A-tan B/1+tan A.tan B
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Answer 1

Answer:

1/✓3

LHS=RHS

Step-by-step explanation:

Hello,

A=60° B=30°

LHS=tan(A-B)=tan(60°-30°)

=tan(30°) which is equal to 1/√3

now,

RHS=tanA-tanB/1+tanAtanB

=tan60°-tan30°/1+tan60°tan30°

tan60°=√3 tan30°=1/√3

=√3-1/√3/1+√3·1/√3

in numerator taking LCM

=(√3·√3-1)/√3/1+1              √3×1/√3=1

=(3-1)/√3/2        

=2/√3/2

2/√3×1/2

=1/√3

LHS=RHS 

hence verified

hope this helps you buddy