RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 7 of Exercise 4.7

Listen NCERT Audio Books to boost your productivity and retention power by 2X.

7

Write each of the following in the simplest form:

Put x = a cosθ


⇒ tan–1


⇒ tan–1


⇒ tan–1


Rationalising it


tan–1


⇒ tan–1


⇒ tan–1


⇒ tan–1


Cos θ = 1 – 2 sin2 and sinθ =


⇒ 1 – cosθ = 2 sin2


= tan–1


= tan–1


= tan–1(tan)


=


But θ = cos–1


∴ The given equation simplification to cos–1 .


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

More Exercise Questions

1

Evaluate each of the following:
1

Evaluate each of the following:
1

Evaluate each of the following:
1

Evaluate each of the following:
1

Evaluate each of the following:
1

Evaluate each of the following:
1

Evaluate each of the following:

sin–1(sin3)
1

Evaluate each of the following:

sin–1(sin4)
1

Evaluate each of the following:

sin–1 (sin12)
1

Evaluate each of the following:

sin–1 (sin 2)
2

Evaluate each of the following:
2

Evaluate each of the following:
2

Evaluate each of the following:
2

Evaluate each of the following:
2

Evaluate each of the following:

cos–1(cos 3)
2

Evaluate each of the following:

cos–1(cos 4)
2

Evaluate each of the following:

cos–1(cos 5)
2

Evaluate each of the following:

cos–1(cos 12)
3

Evaluate each of the following:
3

Evaluate each of the following:
3

Evaluate each of the following:
3

Evaluate each of the following:
3

Evaluate each of the following:

tan–1 (tan 1)
3

Evaluate each of the following:

tan–1 (tan 2)
3

Evaluate each of the following:

tan–1 (tan 4)
3

Evaluate each of the following:

tan–1 (tan 12)
4

Evaluate each of the following:
4

Evaluate each of the following:
4

Evaluate each of the following:
4

Evaluate each of the following:
4

Evaluate each of the following:
4

Evaluate each of the following:
4

Evaluate each of the following:
4

Evaluate each of the following:
5

Evaluate each of the following:
5

Evaluate each of the following:
5

Evaluate each of the following:
5

Evaluate each of the following:
5

Evaluate each of the following:
5

Evaluate each of the following:
6

Evaluate each of the following:
6

Evaluate each of the following:
6

Evaluate each of the following:
6

Evaluate each of the following:
6

Evaluate each of the following:
6

Evaluate each of the following:
7

Write each of the following in the simplest form:
7

Write each of the following in the simplest form:
7

Write each of the following in the simplest form:
7

Write each of the following in the simplest form:
7

Write each of the following in the simplest form:
7

Write each of the following in the simplest form:
7

Write each of the following in the simplest form:
7

Write each of the following in the simplest form:
7

Write each of the following in the simplest form:
7

Write each of the following in the simplest form:

Students Store