RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 7 of Exercise 4.7

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7

Write each of the following in the simplest form:

Assume x = a sinθ


= tan–1


= tan–1


= tan–1


= tan–1


= tan–1


Cos θ = cos2 – sin2 and sinθ = ,cos2 + sin2 = 1


= tan–1


= tan–1


= tan–1


= tan–1(tan)


=


But θ = sin–1


∴ The given equation simplification to sin–1 .


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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