Question

Evaluate tan(cos^-1 3/5) and assume that all angles are in Quadrant I.

Answer 1

4/3

Explanation:

Answer 2

Option c

Explanation:

We assume that the angle is in the first quadrant.

Observe the attached image.

if
`u = cos ^(-1)((3)/(5))`

So:

`cosu = (3)/(5)`

By definition:

`cosu= (adjacent)/(hypotenuse)`

So:

adjacent side = 3

hypotenuse = 5.

Observe the attached image

We find the opposite side "x" using the Pythagorean theorem.

`x=√(5^2 -3^2) \\x = 4`

Then, for the angle u:

`tanu = (opposite)/(adjacent)\\\\tanu = (x)/(3)\\\\tanu = (4)/(3)`