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Math 11 Chapter 13
Inverse Trigonometric Functions
Test - 7
1.
Tan
-1
(-x) = …….
a) - Tan
-1
x
b) Cot
-1
x
c) - Cot
-1
x
d) Tan
-1
x
2.
Sin-1 ½ = π/2 – x, then x = ……..
a)
π
+ x
b) 0
c) π / 3
d) π / 6
3.
Sin
-1
A + Sin
-1
B = …..
a) Sin
-1
(A
√
1 –B
2
+B
√
1 –A
2
)
b) Sin
-1
(A
√
1 –B
2
– B
√
1 –A
2
)
c) Sin
-1
(A
2
√
1 -B
2
+ B
2
√
1 -A
2
)
d) Sin
-1
(A
√
1 –B
2
+ B
√
1 +A
2
4.
Sin
-1
A – Sin
-1
B = …….
a) Sin
-1
(Av
√
1-B
2
- B
√
1-A
2
)
b) Sin
-1
(A
2
√
1-B
2
+ B
2
√
1-A
2
)
c) Sin
-1
(Av
√
1-B
2
+ B
√
1+A
2
d) Sin
-1
(A
√
1-B
2
+ B
√
1-A
2
)
5.
Cos
-1
A + Cos
-1
B = ……..
a) Cos
-1
[AB -
√
(1 – A
2
)(1 – B
2
)
]
b) Cos
-1
[AB -
√
(1 + A
2
)(1 – B
2
)
]
c) Cos
-1
[AB -
√
(1 – A
2
)(1 + B
2
)
]
d) Cos
-1
[AB +
√
(1 – A
2
)(1 – B
2
)
]
6.
Cos
-1
A – Cos
-1
B = ……
a) Cos
-1
[AB -
√
(1 – A
2
)(1 – B
2
)
]
b) Cos
-1
[AB + (
√
(1 – A
2
)(1 – B
2
)
]
c) Cos
-1
[AB -
√
(1 – A
2
)(1 + B
2
)
]
d) Cos
-1
[AB -
√
(1 + A
2
)(1 – B
2
)
]
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