If tan(θ) = 4/3, 0 ≤ θ ≤ π/2, then

Question

If tan(θ) = 4/3, 0 ≤ θ ≤ π/2, then

sin(θ) equals ____

cos(θ) equals ____

sec(θ) equals ____

Answer 1

Draw a right triangle with acute angle θ.

Label the side opposite θ as 4, the side adjacent to θ as 3. Then, by the Pythagorean Theorem, the hypotenuse is 5.

Then, cosθ = 3/5, sinθ = 4/5, and secθ = 1 / (cosθ) = 5/3.

By the way, the restriction on θ should be 0 < θ < π/2.

Answer 2

tan(θ) = 4/3

" = 53.1232......° 1st quad

What is "n"?