Question

If `tan θ = 3/5`, then cos θ is equal to ______.

Options

• `4/3`

• `3/4`

• `3/sqrt(34)`

• `5/sqrt(34)`

Answer 1

If `tan θ = 3/5`, then cos θ is equal to `underlinebb(5/sqrt(34))`.

Explanation:

`tan θ = 3/5`

= `"Opposite"/"Adjacent"` 

Take opposite = 3, adjacent = 5. 

So, hypotenuse = `sqrt(3^2 + 5^2)`

= `sqrt(34)`

Then `cos θ = "Adjacent"/"Hypotenuse"`

= `5/sqrt(34)`