RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 16 of Very short answer

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16

Answer each of the following questions in one word or one sentence or as per exact requirement of the question:

Write the value of sin–1(1550°).


Given sin-1 (sin 1550°)


= sin-1 (sin (1440° + 110°))


= sin-1 (sin (360° × 4 + 110°))


We know that sin (2nπ + θ) = sin θ


= sin-1 (sin 110°)


We know that sin-1 (sin θ) = π – θ, if θ ∈ [π/2, 3π/2]


= 180° - 110°


= 70°


∴ sin-1 (sin 1550°) = 70°


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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