Inverse Trigonometric Functions Worksheets With Answers Page 9
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
2426
MATHEMATICS
Solve for x
Example 17
⎛
⎞
−
1
1
x
–1
=
–1
>
tan
tan
,
0
⎜
⎟
x x
+
1
2
⎝
⎠
x
⎛
⎞
−
1
x
–1
=
–1
From given equation, we have
2 tan
tan
⎜
⎟
Solution
x
+
1
⎝
⎠
x
⎡
⎤
–1
−
–1
=
–1
⇒
2 tan 1 tan
tan
x
x
⎣
⎦
π
⎛ ⎞
π
=
–1
=
2
3tan
tan
⇒
⎜ ⎟
⇒
x
–1
x
⎝ ⎠
4
6
1
x =
⇒
3
Find the values of x which satisfy the equation
Example 18
sin
x + sin
(1 – x) = cos
–1
–1
–1
x.
From the given equation, we have
Solution
sin (sin
x + sin
(1 – x)) = sin (cos
–1
–1
–1
x)
⇒ sin (sin
x) cos (sin
(1 – x)) + cos (sin
x) sin (sin
(1 – x) ) = sin (cos
–1
–1
–1
–1
–1
x)
⇒
2
+
−
−
2
=
−
2
1– (1– )
(1
) 1
1
x
x
x
x
x
⇒
2
+
−
2
− − =
2 –
1
(1
1) 0
x
x x
x
x
(
)
2
−
−
2
=
2 –
1
0
⇒
x
x x
x
⇒ x = 0
or
2x – x
= 1 – x
2
2
1
⇒ x = 0
or
x =
.
2
π
−
Solve the equation sin
–1
6x + sin
–1
6 3 x =
Example 19
2
π
–1
− −
sin 6 3
From the given equation, we have sin
6x =
–1
x
Solution
2
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education