If cos(alpha+beta)=0,then sin (alpha-beta) can be reduced to?
Answers
Answered by
1
Step-by-step explanation:
Given,
cos
(
α
+
β
)
=
0
⇒
α
+
β
=
π
2
(
∵
cos
90
0
=
0
)
α
=
π
2
−
β
....(1)
Now, consider
sin
(
α
−
β
)
=
sin
(
π
2
−
β
−
β
)
(by (1))
=
sin
(
π
2
−
2
β
)
=
cos
2
β
(
∵
sin
(
90
−
θ
)
=
cos
θ
)
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