Inverse Trigonometric Functions- Case Based Type Questions - Free
MCQ Practice Test & Solutions: Test: Inverse Trigonometric Functions- Case Based Type Questions (15 Questions)
You can prepare effectively for JEE Mathematics (Maths) Class 12 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Inverse Trigonometric Functions- Case Based Type Questions". These 15 questions have been designed by the experts with the latest curriculum of JEE 2026, to help you master the concept.
Test Highlights:
- - Format: Multiple Choice Questions (MCQ)
- - Duration: 30 minutes
- - Number of Questions: 15
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Direction: Read the following text and answer the following questions on the basis of the same:
Two men on either side of a temple of 30 metres high observe its top at the angles of elevation α and β respectively. (as shown in the figure above). The distance between the two men is 40√3 metres and the distance between the first person A and the temple is 30√3 meters.
∠CAB = α =
Detailed Solution: Question 1
Direction: Read the following text and answer the following questions on the basis of the same:
Two men on either side of a temple of 30 metres high observe its top at the angles of elevation α and β respectively. (as shown in the figure above). The distance between the two men is 40√3 metres and the distance between the first person A and the temple is 30√3 meters.
Domain and Range of cos−1 x =
Detailed Solution: Question 2
Direction: Read the following text and answer the following questions on the basis of the same:
In the school project Sheetal was asked to construct a triangle and name it as ABC. Two angles A and B were given to be equal to tan-1(½) and tan-1(⅓) respectively.
The value of sin A is _______.
Detailed Solution: Question 3
Direction: Read the following text and answer the following questions on the basis of the same:
In the school project Sheetal was asked to construct a triangle and name it as ABC. Two angles A and B were given to be equal to tan-1(½) and tan-1(⅓) respectively.
The third angle, ∠C = _______.
Detailed Solution: Question 4
Direction: Read the following text and answer the following questions on the basis of the same:
The value of an inverse trigonometric functions which lies in the range of Principal branch is called the principal value of that inverse trigonometric functions.
Principal value of sin–1 (½) is
Detailed Solution: Question 5
Direction: Read the following text and answer the following questions on the basis of the same:
The value of an inverse trigonometric functions which lies in the range of Principal branch is called the principal value of that inverse trigonometric functions.
Principal value of 2cos–1 (1) + 5tan–1 (1) is:
Detailed Solution: Question 6
Direction: Read the following text and answer the following questions on the basis of the same:
Two men on either side of a temple of 30 metres high observe its top at the angles of elevation α and β respectively. (as shown in the figure above). The distance between the two men is 40√3 metres and the distance between the first person A and the temple is 30√3 meters.
∠CAB = α =
Detailed Solution: Question 7
Direction: Read the following text and answer the following questions on the basis of the same:
In the school project Sheetal was asked to construct a triangle and name it as ABC. Two angles A and B were given to be equal to tan-1(½) and tan-1(⅓) respectively.
cos(A + B + C) = _______.
Detailed Solution: Question 8
Direction: Read the following text and answer the following questions on the basis of the same:
The value of an inverse trigonometric functions which lies in the range of Principal branch is called the principal value of that inverse trigonometric functions.
Principal value of tan–1 (1)
Detailed Solution: Question 9
Direction: Read the following text and answer the following questions on the basis of the same:
Two men on either side of a temple of 30 metres high observe its top at the angles of elevation α and β respectively. (as shown in the figure above). The distance between the two men is 40√3 metres and the distance between the first person A and the temple is 30√3 meters.
∠BCA = β =
Detailed Solution: Question 10
Direction: Read the following text and answer the following questions on the basis of the same:
In the school project Sheetal was asked to construct a triangle and name it as ABC. Two angles A and B were given to be equal to tan-1(½) and tan-1(⅓) respectively.
If B = cos–1 x, then x = _______.
Detailed Solution: Question 11
Direction: Read the following text and answer the following questions on the basis of the same:
The value of an inverse trigonometric functions which lies in the range of Principal branch is called the principal value of that inverse trigonometric functions.
Principal value of cot-1(√3) is :
Detailed Solution: Question 12
Direction: Read the following text and answer the following questions on the basis of the same:
Two men on either side of a temple of 30 metres high observe its top at the angles of elevation α and β respectively. (as shown in the figure above). The distance between the two men is 40√3 metres and the distance between the first person A and the temple is 30√3 meters.
∠ABC =
Detailed Solution: Question 13
Direction: Read the following text and answer the following questions on the basis of the same:
In the school project Sheetal was asked to construct a triangle and name it as ABC. Two angles A and B were given to be equal to tan-1(½) and tan-1(⅓) respectively.
If A = sin–1x; then the value of x is:
Detailed Solution: Question 14
Direction: Read the following text and answer the following questions on the basis of the same:
The value of an inverse trigonometric functions which lies in the range of Principal branch is called the principal value of that inverse trigonometric functions.
Principal value of sin -1(1) + sin-1(1/√2) is
Detailed Solution: Question 15
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