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8. Simplify:
cosec(90°–0).coso+sinocoto
sin(900-0).seco-coso.tano
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Answer:
As we know that,
sin(90
o
−θ)=cosθ, cos(90
o
−θ)=sinθ,
cosec(90
o
−θ)=secθ, cot(90
o
−θ)=tanθ,
sec(90
o
−θ)=cosecθ, tan(90
o
−θ)=cotθ
∴
cosec(90−θ)sin(90−θ)cot(90−θ)
cos(90−θ)sec(90−θ)tanθ + cotθ
tan(90−θ)
∴ sin(90−θ) 1 ×sin(90−θ)×tanθ
sinθ× cos(90−θ) 1 ×tanθ + cotθ
cotθ = cosθ 1 ×cosθ
sinθ× sinθ
1 +1
=1+
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