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प्रश्न
In a right triangle ABC, right-angled at A, if sin B = `1/4`, then the value of sec B is ______.
पर्याय
4
`sqrt15/4`
`sqrt15`
`4/sqrt15`
MCQ
रिकाम्या जागा भरा
उत्तर
In a right triangle ABC, right-angled at A, if sin B = `1/4`, then the value of sec B is `bbunderline(4/sqrt15)`.
Explanation:
Sin B = `1/4=P/H`
∵ B = `sqrt(H^2-P^2)`
B = `sqrt((4)^2-(1)^2)`
B = `sqrt15`
∴ Sec B = `H/B`
= `4/sqrt15`
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