Chapter 4: Inverse Trigonometric Functions - Online Test

Q1. The value of sin−1 (cos x), 0 ≤ x ≤ π is
Answer : Option C
Explaination / Solution:


Q2. If sin−1 x + sin−1 y (2π/3) ; then cos−1 x + cos−1 y is equal to
Answer : Option B
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Q3.  is equal to
Answer : Option C
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Q4. If sin−1 x = 2 sin−1 α has a solution, then
Answer : Option A
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Q5.  is valid for
Answer : Option B
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Q6. If sin-1 x + sin-1 y + sin-1z = 3π / 2 , the value of x2017  + y2018 + z2019 – [ 9/ (x101 + y101 + z101)] is
Answer : Option A
Explaination / Solution:
No Explaination.


Q7. If cot−1 x =2π/3 for some x ∈ R , the value of tan−1 x is
Answer : Option C
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Q8. The domain of the function defined by f (x) = sin-1√(x-1) is
Answer : Option A
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Q9. If  x =1/5 , the value of  cos (cos−1  x + 2 sin−1  x) is
Answer : Option D
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Q10.  is equal to
Answer : Option D
Explaination / Solution: