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प्रश्न
Choose the correct alternative answer for the following question.
sin \[\theta\] cosec \[\theta\]= ?
पर्याय
1
0
\[\frac{1}{2}\]
\[\sqrt{2}\]
उत्तर
\[\sin\theta cosec\theta\]
\[ = \sin\theta \times \frac{1}{\sin\theta}\]
\[ = 1\]
Hence, the correct answer is 1 .
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संबंधित प्रश्न
If \[\sin\theta = \frac{7}{25}\], find the values of cosθ and tanθ.
If \[\cot\theta = \frac{40}{9}\], find the values of cosecθ and sinθ.
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Choose the correct alternative answer for the following question.
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Prove the following.
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Proof: L.H.S. = (sec θ – cos θ) (cot θ + tan θ)
= `(1/square - cos θ) (square/square + square/square)` ......`[∵ sec θ = 1/square, cot θ = square/square and tan θ = square/square]`
= `((1 - square)/square) ((square + square)/(square square))`
= `square/square xx 1/(square square)` ......`[(∵ square + square = 1),(∴ square = 1 - square)]`
= `square/(square square)`
= tan θ.sec θ
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∴ L.H.S. = R.H.S.
∴ (sec θ – cos θ) (cot θ + tan θ) = tan θ.sec θ
