Question

Tan75- Tan 30° - Tan 75° Tan30=1​

Answer 1

Answer:

tan 45° = 1

tan (75° - 30°) = 1

(tan75° - tan30°) / (1 + tan75° tan30°) = 1

tan75° - tan30° = 1 + tan75° tan 30°

tan75° - tan30° - tan75° tan30° = 1

Step-by-step explanation:

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

tan 75 - tan 30 - tan75tan 30=1 can also be written as:

tan 75 - tan 30 = 1 + tan75tan 30 or

tan 75 - tan 30/1 + tan75tan 30 = 1 = tan(75-30) = tan(45) = 1

LHS=RHS=1

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