Q. 94.5( 4 Votes )

# Choose the correc

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

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

Prove the followiMathematics - Board Papers

Solve the followiMathematics - Board Papers