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Question
If sin θ = `1/3`, then sec θ is equal to ______.
Options
`(2sqrt2)/3`
`3/(2sqrt2)`
3
`1/sqrt3`
MCQ
Fill in the Blanks
Solution
If sin θ = `1/3`, then sec θ is equal to `bbunderline(3/(2sqrt2))`.
Explanation:
Given that,
⇒ sin θ = `1/3`
We have,
In the right ΔABC,
BC = `sqrt(9 - 1) = sqrt8 = 2sqrt2`
⇒ sec θ = `(AC)/(BC)` = `3/(2sqrt2)`
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