Question

verify that tan 30° = tan 60-tan 30° upon 1 t tan 60° × tan30°​

Answer 1

Answer:

1/root3=root3-1/root3÷root3×1/root3

RHS

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Answer 2

Tan 30°  = (Tan60° - Tan30°)/(1 + Tan60°Tan30°) Verified

Step-by-step explanation:

Tan 30°  = (Tan60° - Tan30°)/(1 + Tan60°Tan30°)

Tan30° = 1/√3

Tan60° = √3

LHS =

Tan30°

= 1/√3

RHS

=  (Tan60° - Tan30°)/(1 + Tan60°Tan30°)

= (√3  - 1/√3)/(  1  + √3(1/√3))

= ((3 - 1)/√3)/(1 + 1)

= (2/√3)/2

= 1/√3

LHS = RHS = 1/√3

Hence verified

Learn more:

If tan(a+b)=1 and tan(ab)

+ tan(45-A)/ tan(45+A) - tan(45-A)= cosec2A

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