RBSE Solutions for Class 12 Maths Chapter 2 Inverse Circular Functions Miscellaneous Exercise

RBSE Solutions for Class 12 Maths Chapter 2 Inverse Circular Functions Miscellaneous Exercise

Rajasthan Board RBSE Class 12 Maths Chapter 2 Inverse Circular Functions Miscellaneous Exercise

RBSE Solutions For Class 12 Maths Chapter 2 Miscellaneous Question 1.
Principal value of tan^-1(- 1) is :
(a) 45°
(b) 135°
(c) – 45°
(d) – 60°
Solution:
∵ tan^-1(- x)= – tan^-1 x
tan^-1 (-1) = – tan^-1(1)
Let tan^-11 = θ
∴ tan θ = 1
⇒ tan θ = tan 45°
∴ θ = 45°
∴ tan^-1(-1) = – 45°
So, option (c) correct.

RBSE Class 12 Maths Chapter 2 Miscellaneous Question 2.
2 tan^-1(1/2) is equal to :

Solution:

So, option (a) is correct.

RBSE Solutions For Class 12 Maths Chapter 2 Question 3.
If tan^-1 (3/4) = θ, then sin is :

Solution:
According to question,

RBSE Solution Class 12 Maths Chapter 2 Question 4.
cot (tan^-1 α + cot^-1 α) is equal to:
(a) 1
(b) ∞
(c) 0
(d) none of those
Solution:
cos (tan^-1 a + cot^-1 a)

So, option (c) correct.

Class 12 Maths RBSE Solution Chapter 2 Question 5.
If sin^-1 ( 1/2 ) = x, then general value of x is :

Solution:
Given,

Hence, option (d) is correct.

RBSE Solutions For Class 12 Maths Chapter 2 Example Question 6.
2 tan (tan^-1x + tan^-1 x³) is :

Solution:

Hence, option (a) is correct.

Miscellaneous Exercise 2 Class 12 Question 7.
If tan^-1(3x) + tan^-1 (2x) = π/4, then x is:

Solution:

RBSE Class 12 Maths Chapter 2 Question 8.
Value of sin^-1( √3/2 ) + 2 cos^-1 (√3/2 )is :

Solution:

Inverse Circular Functions Class 12 RBSE Question 9.
If tan^-1(1) + cos^-1 ( 1/√2) = sin^-1 x, then value of x is:

Solution:

Misc Ex Ch 2 Class 12 Question 10.
If cot^-1 x + tan^-1 1/3 = π/2 then x is :
(a) 1
(b) 3
(c) 1/3
(d) none of these
Solution:

Hence, option (c) is correct.

RBSE Class 12 Maths Chapter 2 Solution Question 11.
If 4 sin^-1 x + cos^-1x = π, then find x.
Solution:
4 sin^-1x + cos^-1x = π

Class 12 Maths Chapter 2 Miscellaneous Exercise Solutions Question 12.

Solution:

Class 12 Maths Ch 2 Miscellaneous Question 13.
If sin^-1 (3/4 ) + sec^-1 (4/3 ) = x, then find x.
Solution:

la

Chapter 2 Maths Css 12 Question 14.
Find: sin^-1 (4/5) + 2 tan^-1 (1/3)
Solution:

RBSE Solutions For Class 12 Maths Chapter 11 Miscellaneous Question 15.
If sin^-1(5/13) + sin-1 (12/x) = 90°, then find x.
Solution:

Miscellaneous Exercise On Chapter 2 Class 12 Question 16.
Prove that:

Solution:

Ex 2 Miscellaneous Class 12 Question 17.
tan^-1x + tan^-1y + tan^-1z = π, then prove x + y + z = xyz
Solution:
tan^-1x + tan^-1y + tan^-1z = π

Chapter 2 Class 12 Miscellaneous Question 18.
Prove that tan^-1(1/2 tan 2A) + tan^-1 (cot A) + tan^-1 (cot² A) = 0.
Solution:

Miscellaneous Chapter 2 Class 12 Question 19.
Prove that tan^-1x = 2 tan^-1(cosec (tan^-1 x) – tan (cot^-1 x)].
Solution:
Let tan^-1x = θ

Ch 2 Maths Class 12 Miscellaneous Question 20.
 then prove that value of Φ – θ is 30°.
Solution:

Question 21.
Prove that:

Solution:

SabDekho

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