If alpha and beta are complementary angles such that q sin alpha=p then find the value of (sin alpha cos beta-cos alpha sin beta).
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Step-by-step explanation:
α,β are complimentary angles.
α+β=90
sinα=
q
p
=cosβ
cosα=
q
q
2
−p
2
=sinβ
(sinαcosβ−cosαsinβ)=(
q
2
p
2
−
q
2
q
2
−p
2
)
=2(
q
2
p
2
)−1
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