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Test: Inverse Trigonometric Functions- Case Based Type Questions - 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.

∠CAB = α =

Detailed Solution for Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 1

Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 2

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 for Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 2

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Test: Inverse Trigonometric Functions- Case Based Type Questions - 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 value of sin A is _______.

Detailed Solution for Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 3

Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 4

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 for Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 4

Test: Inverse Trigonometric Functions- Case Based Type Questions - 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 sin^{–1} (½) is

Detailed Solution for Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 5

Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 6

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 for Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 6

Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 7

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 for Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 7

Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 8

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 for Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 8

Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 9

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 for Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 9

Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 10

Direction: Read the following text and answer the following questions on the basis of the same:

∠BCA = β =

Detailed Solution for Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 10

Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 11

Direction: Read the following text and answer the following questions on the basis of the same:

^{-1}(½) and tan^{-1}(⅓) respectively.

If B = cos^{–1} x, then x = _______.

Detailed Solution for Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 11

Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 12

Direction: Read the following text and answer the following questions on the basis of the same:

Principal value of cot^{-1}(√3) is :

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Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 13

Direction: Read the following text and answer the following questions on the basis of the same:

∠ABC =

Detailed Solution for Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 13

Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 14

Direction: Read the following text and answer the following questions on the basis of the same:

^{-1}(½) and tan^{-1}(⅓) respectively.

If A = sin^{–1}x; then the value of x is:

Detailed Solution for Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 14

Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 15

Direction: Read the following text and answer the following questions on the basis of the same:

Principal value of sin ^{-1}(1) + sin^{-1}(1/√2) is

Detailed Solution for Test: Inverse Trigonometric Functions- Case Based Type Questions - Question 15

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