Question

If 5 cos A − 4 = 0, then the value of tan A is ______.

Options

• `3/4`

• `4/3`

• `3/5`

• `4/5`

Answer 1

If 5 cos A − 4 = 0, then the value of tan A is `\underlinebb(3/4)`

Explanation:

5 cos A − 4 = 0

cos A = `4/5`

Since: sin² A = `1- cos^2"A"`

= `1 - (4/5)^2`

= `3/5`

tan A = `3/4`