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Question
If `sec θ = 17/8`, then tan θ is equal to ______.
Options
`15/8`
`8/15`
`15/17`
`17/15`
MCQ
Fill in the Blanks
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Solution
If `sec θ = 17/8`, then tan θ is equal to `underlinebb(15/8)`.
Explanation:
`sec θ = 1/(cos θ)`
= `"Hypotenuse"/"Adjacent"`
So, take hypotenuse = 17 and adjacent = 8.
Then opposite = `sqrt(17^2 - 8^2)`
= `sqrt(289 - 64)`
= `sqrt(225)`
= 15
Therefore, `tan θ = "Opposite"/"Adjacent"`
= `15/8`
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