Question

If sin θ = 1 over 4 and tan θ > 0, what is the value of cos θ? (1 point)

Group of answer choices

negative square root of 15 over 4

square root of 15 over 4

square root of 15

negative square root of 15

Answer 1

There are two options: b)
`(√(15))/(4)`, c)
`√(15)`.

Explanation:

By Trigonometry, we know that function tangent is equal to the following identity in terms of functions sine and cosine:

`\tan \theta = (\sin \theta)/(\cos \theta)` (1)

If we know that
`\tan \theta > 0` and
`\sin \theta = (1)/(4)`, then
`\cos \theta > 0`. Hence, we have two possibilities: b)
`(√(15))/(4)`, c)
`√(15)`.