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Byju's Answer
Standard XI
Mathematics
Trigonometric Ratios of Compound Angles
If tan 35∘= k...
Question
If tan
35
∘
= k, then the value of
t
a
n
145
∘
−
t
a
n
125
∘
1
+
t
a
n
145
∘
t
a
n
125
∘
=
A
2
k
1
−
k
2
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B
2
k
1
+
k
2
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C
1
−
k
2
2
k
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D
1
−
k
2
1
+
k
2
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Solution
The correct option is
C
1
−
k
2
2
k
t
a
n
145
∘
−
t
a
n
125
∘
1
+
t
a
n
145
∘
t
a
n
125
∘
=
t
a
n
(
145
∘
−
125
∘
)
=
t
a
n
20
∘
=
1
t
a
n
70
∘
=
1
−
t
a
n
2
35
∘
2
t
a
n
35
∘
=
1
−
k
2
2
k
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1
Similar questions
Q.
If
tan
35
∘
=
k
, then the value of
tan
145
∘
−
tan
125
∘
1
+
tan
145
∘
tan
125
∘
is:
Q.
The value
tan
100
∘
+
tan
125
∘
+
tan
100
∘
tan
125
∘
is
Q.
tan
180
∘
+
tan
125
∘
+
tan
100
∘
.
tan
125
∘
is equal to
Q.
tan
100
∘
+
tan
125
∘
+
tan
100
∘
tan
125
∘
is equal to
Q.
Prove the following results:
(i)
cos
-
1
5
13
=
tan
-
1
12
5
(ii)
sin
-
1
-
4
5
=
tan
-
1
-
4
3
=
cos
-
1
-
3
5
-
π
(iii)
tan
cos
-
1
4
5
+
tan
-
1
2
3
=
17
6
(iv)
2
sin
-
1
3
5
=
tan
-
1
24
7
(v)
sin
-
1
5
13
+
cos
-
1
3
5
=
tan
-
1
63
16
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