Answer:
Option(B)
Step-by-step explanation:
(5)
Given: cos(α + β) = 0.
cos(α + β) = cos 90°
α + β = 90
α = 90 - β.
Now,
sin(α - β)
= sin(90 - β - β)
= sin(90 - 2β)
= cos 2β.
Hope it helps!
cos(α + β) = 0.
sin(90 - β - β)
sin(90 - 2β)
cos 2β.
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Verified answer
Answer:
Option(B)
Step-by-step explanation:
(5)
Given: cos(α + β) = 0.
cos(α + β) = cos 90°
α + β = 90
α = 90 - β.
Now,
sin(α - β)
= sin(90 - β - β)
= sin(90 - 2β)
= cos 2β.
Hope it helps!
Step-by-step explanation:
cos(α + β) = 0.
cos(α + β) = cos 90°
α + β = 90
α = 90 - β.
sin(α - β)
sin(90 - β - β)
sin(90 - 2β)
cos 2β.