Prove that lies between and .

RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 7. Values of Trigonometric Functions at Sum of Difference of Angles

Subject: Maths - Class 11^th

Q. No. 4 of Exercise 7.2

Listen NCERT Audio Books - Kitabein Ab Bolengi

4

Prove that lies between and .

Let f(x) =(2√3 + 3) sin x + 2√3 cos x

HereA = 2√3 , B = 2√3 + 3 And c = 0

Hence proved.

4

Chapter Exercises

Exercise 7.1

Exercise 7.2

Very Short Answer

MCQ

1

Find the maximum and minimum values of each of the following trigonometrical expressions:
(i) 12 sin x- 5 cos x

(ii) 12 cos x + 5 sin x+ 4

(iii)

(iv) sin x – cos x + 1

2

Reduce each of the following expressions to the Sine And Cosine of A single expression:

2

Reduce each of the following expressions to the Sine And Cosine ofA single expression:
cos x – sin x

2

Reduce each of the following expressions to the Sine And Cosine ofA single expression:
24 cos x + 7 sin x

3

Show that Sin 100⁰ – Sin 10⁰ is positive.

4

Prove that lies between and .