If tan(α +β) = 1 and tanα = 3, prove that: tanβ = -1/2. | Prove | Trigonometric Ratios of Compound Angles | Trigonometry | Sci-Pi

If tan(α +β) = 1 and tanα = 3, prove that: tanβ = -1/2.

Answer:

You need to know these following things to be able to solve such questions and get the value of given compound angles.
cosec x= 1/sin x
Sec x= 1/cos x
Cot x= 1/tan x

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