Question

5 tan θ = 4, ∴ sin θ = ______.

Options

• 4

• `4/3`

• `4/sqrt41`

• `3/4`

Answer 1

5 tan θ = 4, ∴ sin θ = `underlinebb(4/sqrt41)`.

Explanation:

5 tan θ = 4, tan⁡ θ = `4/5`=

Taking perpendicular = 4 and base = 5, the hypotenuse = `sqrt(4^2 + 5^2) = sqrt41`

sinθ = `"perpendicular"/"hypotenuse" = 4/sqrt41`