sinθ = - 1/2, tanθ = - 1 হলে, cosec(- θ) - cot(- θ) =?

প্রশ্ন: sinθ = - 1/2, tanθ = - 1 হলে, cosec(- θ) - cot(- θ) =?

সমাধান:
আমরা জানি,
cos(- θ) = cosθ
sec(- θ) = secθ
sin(- θ) = - sinθ
cosec(- θ) = - cosecθ
tan(- θ) = - tanθ
cot(- θ) = - cotθ

এখন,
cosec(- θ) - cot(- θ)
= - cosecθ - (- cotθ)
= cotθ - cosecθ
= 1/tanθ - 1/sinθ
= 1/(- 1) - 1/(- 1/2)
= - 1 + 2
= 1