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Standard XII
Maths
Question
If
tan
θ
=
4
3
, then find the value of
4
sin
θ
+
3
cos
θ
4
sin
θ
−
3
cos
θ
?
0
1
16
9
25
7
A
25
7
B
1
C
0
D
16
9
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Solution
Verified by Toppr
Given :
tan
θ
=
4
3
Consider,
4
sin
θ
+
3
cos
θ
4
sin
θ
−
3
cos
θ
=
4
sin
θ
+
3
cos
θ
4
sin
θ
−
3
cos
θ
×
cos
θ
cos
θ
=
4
tan
θ
+
3
4
tan
θ
−
3
=
4
×
4
3
+
3
4
×
4
3
−
3
=
16
+
9
16
−
9
=
25
7
Hence,
4
sin
θ
+
3
cos
θ
4
sin
θ
−
3
cos
θ
=
25
7
.
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