secθ.cosecθ = ?

প্রশ্ন: secθ.cosecθ = ?

সমাধান:
secθ.cosecθ
= (1/cosθ).(1/sinθ)
= 1/sinθ.cosθ
= (sin²θ + cos²θ)/sinθ.cosθ [যেহেতু sin²θ + cos²θ = 1]
= (sin²θ/sinθ.cosθ) + (cos²θ/sinθ.cosθ)
= (sinθ/cosθ) + (cosθ/sinθ)
= tanθ + cotθ