Question

Given the point (5,4) on the terminal side of the angle...Find the Hypotenuse, sine, cosine, tangent ratios for the angle.

I know how to find the ratios for the angle but how do I find the angle?

Answer 1

Here ill give you and example
It helps to always draw out the triangle associated with the problem.

Given the point (3,4), then we know θ is in Quadrant 1.

.........................(3,4)
......................../|
....................../..|
..................../....|
................../......|
................/........| 4
............../..........|
............/............|
........../_θ______|
.................3

Hypotenuse, h is found using the Phythagorean Theorem.

h² = 3² + 4² = 25, h = 5

So,

cos θ = adjacent/hypotenuse = 3/5

Hope this helps!

Answer 2

Do you know how to do an inverse cosine on your calculator? You'll need to use it to be able to go from the ratio to the real angle.

Answer 3

If you mean cos^-1 then yes....

Answer 4

Great. Yes, that's what I mean.