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प्रश्न
Choose the correct alternative answer for the following question.
cosec 45° =?
पर्याय
\[\frac{1}{2}\]
\[\sqrt{2}\]
\[\frac{\sqrt{3}}{2}\]
\[\frac{2}{\sqrt{3}}\]
उत्तर
Hence, the correct answer is \[\sqrt{2}\] .
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संबंधित प्रश्न
If \[\sin\theta = \frac{7}{25}\], find the values of cosθ and tanθ.
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If tanθ = 1 then, find the value of
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Choose the correct alternative answer for the following question.
sin \[\theta\] cosec \[\theta\]= ?
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Prove the following.
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Prove the following.
Prove the following.
\[\frac{\tan\theta}{\sec\theta + 1} = \frac{\sec\theta - 1}{\tan\theta}\]
Prove the following.
If sinθ = `8/17`, where θ is an acute angle, find the value of cos θ by using identities.
Show that:
`sqrt((1-cos"A")/(1+cos"A"))=cos"ecA - cotA"`
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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
= R.H.S.
∴ L.H.S. = R.H.S.
∴ (sec θ – cos θ) (cot θ + tan θ) = tan θ.sec θ
