Answer each of the following questions in one word or one sentence or as per exact requirement of the question: Write the value of cos –1 (cos 1540°).

RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12^th

Q. No. 13 of Very short answer

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13

Answer each of the following questions in one word or one sentence or as per exact requirement of the question:
Write the value of cos^–1(cos 1540°).

Given cos^-1 (cos 1540°)

= cos^-1{cos (1440° + 100°)}

= cos^-1{cos (360° × 4 + 100°)}

We know that cos (2π + θ) = cos θ

= cos^-1{cos 100°}

We know that cos^-1 (cos θ) = θ if θ ∈ [0, π]

= 100°

∴ cos^-1 (cos 1540°) = 100°

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

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