Inverse Trigonometric Functions Test

Result

Inverse Trigonometric Functions Test - 10

Score
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Rank
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TIME Taken - -

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Question 1
1 / -0

Domain of f(x) = sin⁻¹x − sec⁻¹x is

A
None of these

B
0 or 1

C
{ -1 ,1}

D
{ 0, 1}

Solution

Since, Domain of sin⁻¹x is [ -1,1 ] and domain of sec⁻¹x is R - ( -1,1 ), D_f = { -1,1 }.
Question 2
1 / -0

The number of solutions of the equation cos⁻¹(1 − x) − 2cos⁻¹x = π/2 is

A
two

B
One

C
more than one

D
None of these.

Solution

As no value of x in ( 0, 1) can satisfy the given equation.Thus, the given equation has only one solution.