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Byju's Answer
Standard IX
Mathematics
Calculating Heights and Distances
If alpha and ...
Question
If alpha and beta are complementary angles such that b sin alpha =a , then find the value of (sin alpha cos beta - cos alpha sin beta).
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Solution
bsinα
=
a
sinα
=
a
b
so
cosα
=
1
-
sin
2
α
=
1
-
a
2
b
2
=
b
2
-
a
2
b
So
,
sinαcosβ
-
cosαsinβ
=
a
b
×
cosβ
-
b
2
-
a
2
b
×
sinβ
=
acosβ
-
sinβ
b
2
-
a
2
b
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