A. 1 B. 0 C. 1/2 D. √(2)

Answer: (A) 1 cosecθ = 1/sinθ, so sinθ × cosecθ = sinθ × 1/sinθ = 1.

Chapter: Trigonometry· Mathematics Part 2 (Geometry)

Asked in: March 2024 board paper (asked again as a 1-mark question in July 2024)\(\sin\theta \times \operatorname{cosec}\theta = \,?\)

A. 1

B. 0

C. \(\dfrac{1}{2}\)

D. \(\sqrt{2}\)

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Answer: (A) 1

\(\operatorname{cosec}\theta = \dfrac{1}{\sin\theta}\), so \(\sin\theta \times \operatorname{cosec}\theta = \sin\theta \times \dfrac{1}{\sin\theta} = 1\).

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Asked in: March 2024 board paper (asked again as a 1-mark question in July 2024)\(\sin\theta \times \operatorname{cosec}\theta = \,?\)

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