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Question
If sin A = `1/2`, then the value of sec A is ______.
Options
`2sqrt(3)`
`1/sqrt(3)`
`sqrt(3)`
1
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Solution
If sin A = `1/2`, then the value of sec A is `underline(bb(2sqrt(3))`.
Explanation:
sin A = `1/2`
cos A = `sqrt(1 - sin^2A)`
= `sqrt(1 - 1/4)`
= `sqrt(3)/2`
sec A = `1/cosA`
= `1/(sqrt(3)/2)`
= `2/sqrt(3)`
sec A = `2/sqrt(3)`
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