RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 9 of MCQ

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9

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

Chapter Exercises

Exercise 4.1
Exercise 4.2
Exercise 4.3
Exercise 4.4
Exercise 4.5
Exercise 4.6
Exercise 4.7
Exercise 4.8
Exercise 4.9
Exercise 4.10
Exercise 4.11
Exercise 4.12
Exercise 4.13
Exercise 4.14
Very short answer
MCQ

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