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Math 11 Chapter 13
Inverse Trigonometric Functions
Test - 1
1.
When x = tan
-1
1/2, y = tan
-1
1/3 then x + y will be
a) None of these
b) 1/6
c) 5/6
d) 1
2.
The inverse of principal sine function?
a) does not exist
b) may or may not exist
c) exists
3.
The range of the function y= cos
-1
x is -π/2
£
y
£
π/2
a) True
b) False
4.
The domain of principal cosine function is?
a) [0,
n
]
b) [0,
p
]
c) [1,
p
]
d) [2
p
]
5.
The inverses of all the functions exist.
a) Sin (sin
-1
1/2)
b) Sin [tan
-1
(-3)]
c) = sec
-1
x
d) y= Cot
-1
x
e) Sin
-1
B
6.
The inverse sine function can also be written as?
a) arc sin x
b) sin x.
c) cosin x.
d) arc cosin x.
7.
If tan
-1
(1/
Ö
3) = x then ( tan x )
-1
is
a) [-π, π)
b) [-π/2, π/2]
c) None of the above
d) [-1,1]
8.
The inverse of _____ function exists
a) 0
p
b) None of the above.
c) -
p
# x #
p
d) -
¥
¥
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