NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Ex 2.2 are part of NCERT Solutions for Class 12 Maths. Here we have given NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Ex 2.2.
Board | CBSE |
Textbook | NCERT |
Class | Class 12 |
Subject | Maths |
Chapter | Chapter 2 |
Chapter Name | Inverse Trigonometric Functions |
Exercise | Ex 2.2 |
Number of Questions Solved | 21 |
Category | NCERT Solutions |
NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Ex 2.2
Ex 2.2 Class 12 Maths Question 1.
Solution:
Let sin-1 x = θ
sin θ = x sin 3θ = 3 sin θ – 4 sin³ θ
sin 3θ = 3x – 4x³
3θ = sin-1 (3x – 4x³)
or
Ex 2.2 Class 12 Maths Question 2.
Solution:
Let cos-1 x = θ
x = cos θ
R.H.S= cos-1 (4x³ – 3cosx)
= cos-1 (4 cos³θ – 3 cosθ)
= cos-1 (cos 3θ) [∴ cos 3θ = 4 cos³ θ – 3 cos θ]
= 3θ
= 3 cos-1 x
= L.H.S.
Ex 2.2 Class 12 Maths Question 3.
Solution:
L.H.S =
=
=
= R.H.S
Ex 2.2 Class 12 Maths Question 4.
Solution:
L.H.S =
Ex 2.2 Class 12 Maths Question 5.
Write the function in the simplest form
Solution:
Putting x = θ
∴ θ = tan-1 x
Ex 2.2 Class 12 Maths Question 6.
Solution:
Given expression
Let x = secθ
Ex 2.2 Class 12 Maths Question 7.
Solution:
=
Ex 2.2 Class 12 Maths Question 8.
Solution:
Dividing numerator and denominator by cos x
Ex 2.2 Class 12 Maths Question 9.
Solution:
Let x = a sinθ
=> = sinθ
Ex 2.2 Class 12 Maths Question 10.
Solution:
Put x = a tanθ,
we get
Ex 2.2 Class 12 Maths Question 11.
Find the value of the following
Solution:
=
Ex 2.2 Class 12 Maths Question 12.
cot[tan-1 a + cot-1 a]
Solution:
Given
cot[tan-1 a + cot-1 a]
=
Ex 2.2 Class 12 Maths Question 13.
Solution:
Putting x = tanθ
=> tan-1 x = θ
Ex 2.2 Class 12 Maths Question 14.
If then find the value of x
Solution:
Ex 2.2 Class 12 Maths Question 15.
If then find the value of x
Solution:
L.H.S
Ex 2.2 Class 12 Maths Question 16.
Solution:
=
=
Ex 2.2 Class 12 Maths Question 17.
Solution:
=
=
Ex 2.2 Class 12 Maths Question 18.
Solution:
Let
sinθ =
Ex 2.2 Class 12 Maths Question 19.
is equal to
(a)
(b)
(c)
(d)
Solution:
=
Ex 2.2 Class 12 Maths Question 20.
is equal to
(a)
(b)
(c)
(d) 1
Solution:
Ex 2.2 Class 12 Maths Question 21.
is equal to
(a) π
(b)
(c) 0
(d) 2√3
Solution:
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