Class 12 Maths ISC Inverse Trignometric Functions Board Questions
Inverse Trigonometric Functions for Class 12 includes the major concepts related to the inverse of trigonometric functions, which will help the students score good marks in their examinations. The inverse trigonometric functions play an essential role in calculus, for they serve to define many integrals. The concepts of inverse trigonometric functions are also used in science and engineering.
class 12 ISC Inverse Trignometric Functions BoardQuestions
Inverse Trigonometric Functions BoardQuestions
2016
Q1
If sin-1 x + tan-1 x =
solutions
π
/
2
Prove that : 2x2 + 1 = √5
solutions
Q2
Solve for x if :
tan(cos-1x) = 2/√5
solutions
solutions
2017
Q3
Prove that
solutions
1
/
2
cos-1(
1-x
/
1+x
) = tan-1√x
solutions
Q4
Solve the equation for x :
sin-1 x + sin-1(1-x) = cos-1x, x≠0
solutions
sin-1 x + sin-1(1-x) = cos-1x, x≠0
solutions
2018
Q5
Solve : 3 tan-1x + cot-1x = π
solutions
solutions
Q6
If tan-1a + tan-1b + tan-1c = π
Prove that a + b + c = abc
solutions
Prove that a + b + c = abc
solutions
2019
Q7
Solve : sin(2 tan-1x) = 1
solutions
solutions
Q8
(a) Solve for x:
tan-1(
OR
(b) If sec-1x = cosec-1y , show that
solutions
tan-1(
x-1
/
x-2
) + tan-1(
x+1
/
x+2
) =
π
/
4
OR
(b) If sec-1x = cosec-1y , show that
1
/
x2
+
1
/
y2
= 1
solutions
2020
Q9
(a) If
cos-1
OR
(b) Evaluate : cos(2 cos-1x + sin-1 x) at x =
solutions
x
/
2
+ cos-1
y
/
3
= θ , then prove that 9x2 - 12xy cosθ + 4y2 = 36
sin2θOR
(b) Evaluate : cos(2 cos-1x + sin-1 x) at x =
1
/
5
solutions
Q10
Prove that :
tan2(sec-12) + cot2(cosec-1 3) = 11
solutions
tan2(sec-12) + cot2(cosec-1 3) = 11
solutions
Reach Us
SERVICES
- ACADEMIC
- ON-LINE PREPARATION
- FOUNDATION & CRASH COURSES
CONTACT
B-54, Krishna Bhawan, Parag Narain Road,
Near Butler Palace Colony Lucknow
Contact:+918081967119
Add a comment