Question

If `sec θ = 17/8`, then tan θ is equal to ______.

पर्याय

• `15/8`

• `8/15`

• `15/17`

• `17/15`

Answer 1

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`