3sin+5cos=9cosin find the value
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Answer:Let me take theta=α(I can't find the symbol)
3
sin
α
+
5
cos
α
=
5
Squaring both sides
9
(
sin
α
)
2
+
25
(
cos
α
)
2
+
30
⋅
sin
α
⋅
cos
α
=
25
9
−
9
(
cos
α
)
2
+
25
−
25
(
sin
α
)
2
+
30
⋅
sin
α
⋅
cos
α
=
25
Cutting 25 both sides and multiplying -1 both sides we get
9
(
cos
α
)
2
+
25
(
sin
α
)
2
−
30
⋅
cos
α
⋅
sin
α
=
9
(
5
sin
α
−
3
cos
α
)
2
=
3
2
5
sin
α
−
3
cos
α
=
+
3
or
−
3
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