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Byju's Answer
Standard XII
Mathematics
Differentiation of Inverse Trigonometric Functions
If 2tan A=3...
Question
If
2
tan
A
=
3
, then find the value of
4
sin
A
+
5
cos
A
6
sin
A
+
2
cos
A
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Solution
2
tan
A
=
3
→
tan
A
=
3
2
⇒
sin
A
=
3
√
13
&
cos
A
=
2
√
13
⇒
4
sin
A
+
5
cos
A
6
sin
A
+
2
cos
A
=
12
+
10
18
+
4
=
22
22
=
1
Hence, the answer is
1.
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Q.
Given that
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Q.
If
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Let
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If
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