1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Modulus of a Complex Number
If 3cosθ =5...
Question
If
3
cos
θ
=
5
sin
θ
, then the value of
5
sin
θ
−
2
sec
3
θ
+
2
cos
θ
5
sin
θ
−
2
sec
3
θ
+
2
cos
θ
is ?
Open in App
Solution
3
cos
θ
=
5
sin
θ
cos
θ
=
(
5
3
)
sin
θ
cos
2
θ
=
(
5
3
)
2
sin
2
θ
1
−
sin
2
θ
=
(
25
9
)
sin
2
θ
⇒
sin
2
θ
=
9
34
∴
sin
θ
=
3
√
34
cos
2
θ
=
1
−
sin
2
θ
=
1
−
9
34
=
25
34
∴
cos
θ
=
5
√
34
∴
5
sin
θ
−
2
sec
3
θ
+
2
cos
θ
5
sin
θ
−
2
sec
3
θ
+
2
cos
θ
=
5
×
3
√
34
−
2
×
34
√
34
125
+
2
×
5
√
34
5
×
3
√
34
−
2
×
34
√
34
125
+
2
×
5
√
34
=
15
√
34
−
2
×
34
√
34
125
+
10
√
34
15
√
34
−
2
×
34
√
34
125
+
10
√
34
=
25
√
34
−
2
×
34
√
34
125
25
√
34
−
2
×
34
√
34
125
=
1
Suggest Corrections
0
Similar questions
Q.
If
5
tan
θ
=
4
, then value of
5
sin
θ
−
3
cos
θ
5
sin
θ
+
2
cos
θ
is:
Q.
If 5
t
a
n
θ
=
4
,
then value of
5
s
i
n
θ
−
3
c
o
s
θ
5
s
i
n
θ
+
2
c
o
s
θ
is
Q.
If 3 cos θ = 5 sin θ, then the value of
5
sin
θ
-
2
sec
3
θ
+
2
cos
θ
5
sin
θ
+
2
sec
3
θ
-
2
cos
θ
is
(a)
271
979
(b)
316
2937
(c)
542
2937
(d) None of these