Evaluate each of the following: cos –1 (cos 5)

RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12^th

Q. No. 2 of Exercise 4.7

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2

Evaluate each of the following:
cos^–1(cos 5)

cos^–1(cos x) = x

Provided x ϵ [0,π] ≈ [0,3.14]

And in our equation x is 5 which does not lie in the above range.

We know cos[2π – x] = cos[x]

∴ cos(2π – 5) = cos(5)

Also 2π–5 belongs in [0,π]

∴ cos^–1(cos 5) = 2π–5

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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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