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Choose the correct answer
If and
, then
We are given that,
Take,
We can write as,
Then,
Also, by trigonometric identity
[∵, lies in III Quadrant and tangent is positive in III Quadrant]
Using the property of inverse trigonometry, that is, tan-1(tan A) = A.
Now, take
We can write as,
Then,
By trigonometric identity,
[∵, lies in II Quadrant and tangent is negative in II Quadrant]
Using the property of inverse trigonometry, that is, tan-1(tan A) = A.
We have,
⇒ 4α = π and 3β = π
Since, the values of 4α and 3β are same, that is,
4α = 3β = π
Therefore,
4α = 3β