Topic: Chapter 4: Inverse Trigonometric Functions (Test 1)
Q.1
The value of sin−1 (cos x), 0 ≤ x ≤ π is
A. π - x
B. x - π/2
C. π/2
- x
D. x - π
Answer : Option C
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Q.2
If sin−1 x + sin−1 y (2π/3) ; then cos−1 x + cos−1 y is equal to
A. 2π /3
B. π /3
C. π /6
D. π
Answer : Option B
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Q.3
is equal toA. 2π
B. π
C. 0
D. tan-1 (12/65)
Answer : Option C
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Q.4
If sin−1 x = 2 sin−1 α has a solution, then
A. |α| ≤ (1/√2)
B. |α| ≥ (1/√2)
C. |α| < (1/√2)
D. |α| > (1/√2)
Answer : Option A
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Q.5
is valid forA. − π ≤ x ≤ 0
B. 0 ≤ x ≤ π
C. -π/2 ≤ x ≤ π/2
D. -π/4 ≤ x ≤ 3π/4
Answer : Option B
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Q.6
If sin-1 x +
sin-1 y + sin-1z = 3π / 2 , the value
of x2017 + y2018 + z2019
– [ 9/ (x101 + y101
+ z101)] is
A. 0
B. 1
C. 2
D. 3
Answer : Option A
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Q.7
If cot−1 x =2π/3
for some x ∈ R , the value of
tan−1 x is
A. – π/10
B. π/5
C. π/10
D. - π/5
Answer : Option C
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Q.8
The domain of the function
defined by f (x) = sin-1√(x-1) is
A. [1,2]
B. [-1,1]
C. [0,1]
D. [-1,0]
Answer : Option A
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Q.9
If x =1/5 , the value of cos (cos−1 x + 2 sin−1 x) is
A. – √(24/25)
B. √(24/25)
C. 1/5
D. -1/5
Answer : Option D
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Q.10
is equal
toA. 
B. 
C. 
D. 
Answer : Option D
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