Inverse Trigonometric Functions Worksheets With Answers Page 19
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MATHEMATICS
Find the real solutions of the equation
7.
π
(
)
+
+
+ + =
–1
–1
2
tan
1
sin
1
x x
x
x
.
2
(
)
⎛
⎞
1
–1
–1
+
2 tan
cos tan 2 2
⎜
⎟
Find the value of the expression sin
.
8.
⎝
3
⎠
π
(cos θ) = tan
(2 cosec θ), then show that θ =
If 2 tan
–1
–1
,
9.
4
where n is any integer.
⎛
⎞
⎛
⎞
1
1
–1
=
–1
cos 2 tan
sin 4 tan
⎜
⎟
⎜
⎟
Show that
.
10.
⎝
7
⎠
⎝
3
⎠
(
)
⎛
⎞
3
–1
–1
=
cos tan
sin cot
Solve the following equation
.
⎜
⎟
11.
x
⎝
4
⎠
Long Answer (L.A.)
2
2
1
1–
1
x
x
–1
–1
2
tan
cos
x
Prove that
12.
4 2
2
2
1
– 1–
x
x
3
4
–3
–1
cos
cos
sin
,
x
x
, where x ∈
Find the simplified form of
.
13.
5
5
4
4
8
3
77
–1
–1
–1
sin
sin
sin
Prove that
.
14.
17
5
85
5
3
63
–1
–1
–1
sin
cos
tan
Show that
.
15.
13
5
16
1
2
1
+
=
−
–1
–1
1
tan
tan
sin
Prove that
.
16.
4
9
5
1
1
–1
–1
4 tan
– tan
Find the value of
.
17.
5
239
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