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Inverse Trigono...

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  • Question 1
    1 / -0.25

    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 =

  • Question 2
    1 / -0.25

    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 =

  • Question 3
    1 / -0.25

    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 _______.

  • Question 4
    1 / -0.25

    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 = _______.

  • Question 5
    1 / -0.25

    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

  • Question 6
    1 / -0.25

    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:

  • Question 7
    1 / -0.25

    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 =

  • Question 8
    1 / -0.25

    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) = _______.

  • Question 9
    1 / -0.25

    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)

  • Question 10
    1 / -0.25

    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 =

  • Question 11
    1 / -0.25

    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 = _______.

  • Question 12
    1 / -0.25

    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 :

  • Question 13
    1 / -0.25

    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 =

  • Question 14
    1 / -0.25

    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–1 x; then the value of x is:

  • Question 15
    1 / -0.25

    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

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