Answer each of the following questions in one word or one sentence or as per exact requirement of the question: Write the principal value of cos –1 (cos 680°).

RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12^th

Q. No. 45 of Very short answer

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45

Answer each of the following questions in one word or one sentence or as per exact requirement of the question:
Write the principal value of cos^–1(cos 680°).

Given cos^-1 (cos 680°)

= cos^-1 (cos (720° - 40°))

= cos^-1 (cos (2 × 360° - 40°))

= cos^-1 (cos 40°)

= 40°

∴ cos^-1 (cos 680°) = 40°

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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