Assume x = tanθ= tan–1= tan–1= tan–1= tan–1= tan–1Cos θ = 2 cos2 –1 and sinθ = ⇒ 1 + cosθ = 2 cos2= tan–1= tan–1= tan–1(cot)cot = tan= tan–1(tan)But θ = tan–1x.∴ Therefore, the simplification of given equation is

1 A 1 B 1 C 1 D 1 E 1 F 1 G 1 H 1 I 1 J 2 A 2 B 2 C 2 D 2 E 2 F 2 G 2 H 3 A 3 B 3 C 3 D 3 E 3 F 3 G 3 H 4 A 4 B 4 C 4 D 4 E 4 F 4 G 4 H 5 A 5 B 5 C 5 D 5 E 5 F 6 A 6 B 6 C 6 D 6 E 6 F 7 A 7 B 7 C 7 D 7 E 7 F 7 G 7 H 7 I 7 J

RD Sharma - Volume 1

4. Inverse Trigonometric Functions

Exercise 4.1

1 A 1 B 1 C 1 D 1 E 1 F 2 A 2 B 3 A 3 B 3 C 3 D 4 5

Exercise 4.2

1 2 3 4 A 4 B 4 C 4 D 5 A 5 B 5 C 5 D

Exercise 4.3

1 A 1 B 1 C 1 D 2 A 2 B 3 A 3 B 3 C

Exercise 4.4

1 A 1 B 1 C 1 D 2 A 2 B 3 A 3 B 1 A

Exercise 4.5

1 A 1 B 1 C 1 D 2 3 A 3 B 3 C 3 D

Exercise 4.6

1 A 1 B 1 C 1 D 2 3 A 3 B 3 C 3 D

Exercise 4.7

Exercise 4.8

1 A 1 B 1 C 1 D 1 E 1 F 1 G 1 H 1 I 2 A 2 B 2 C 2 D 3 4

Exercise 4.9

1 A 1 B 1 C 2 A 2 B 2 C 3

Exercise 4.10

1 A 1 B 1 C 1 D 1 E 2 3 4 5 6 7 8 9 10

Exercise 4.11

1 A 1 B 1 C 2 3 A 3 B 3 C 3 D 3 E 3 F 3 G 3 H 3 I 3 J 4

Exercise 4.12

1 2 A 2 B 2 C 3 A 3 B

Exercise 4.13

1 2 3 4

Exercise 4.14

1 A 1 B 1 C 1 D 2 A 2 B 2 C 2 D 2 E 2 F 2 G 2 H 2 I 2 J 3 4 A 4 B 5 6 7 A 7 B 8 A 8 B 8 C 8 D 8 E 8 F 9 10 11

MCQ

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35

Very short answer

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

Q. 7 E5.0( 2 Votes )

Write each of the

Class 12th RD Sharma - Volume 1 4. Inverse Trigonometric Functions

Answer :

Assume x = tanθ

= tan^–1

Cos θ = 2 cos² –1 and sinθ =

⇒ 1 + cosθ = 2 cos²

= tan^–1

= tan^–1(cot)

cot = tan

= tan^–1(tan)

But θ = tan^–1x.

∴

Therefore, the simplification of given equation is

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSWrite each of the NEXTWrite each of the

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

view all courses