Question:
If tan-1 k + tan, 1 24 xπ 4
If tan-1 k + tan, 1 24 xπ 4
Options:
- a) 1
- b) 1 2
- c) 1 3
- d) 1 4
- a) 1
- b) 1 2
- c) 1 3
- d) 1 4
correct answer : c)
Explanation:
tan-1k + tan-1 1
2
=
4
π
= tan-11
tan-1k = tan-1
1 1
2
1 1
2
–
+
= tan-1 1
2
2
3×
k = 1
3
tan-1k + tan-1 1
2
=
4
π
= tan-11
tan-1k = tan-1
1 1
2
1 1
2
–
+
= tan-1 1
2
2
3×
k = 1
3