Q. 94.5( 4 Votes )

# Choose the correc

Answer :

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

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