Given the ordered pair P, determine the requested sin, cos, or tan of angle. P (4, 5) sin = (4√41) / 41 (5√41) / 41 4/5 5/4 what is the correct answer

Ok One side would have a length of 4, another side would have a length of 5, and then we can use the Pythagorean Theorem to find the length of the hypotenuse. a^2 + b^2 = c^2

a=4; b=5;

4^2 + 5^2 = c^2

16 + 25 = c^2

41 = c^2

c = √41

Therefore, the hypotenuse has a length of √41.

To find the sinθ, you take the opposite over the hypotenuse.

Remember when you drew out the triangle? θ is the angle connected to the origin. The opposite side is b, which is 5.

Your answer is 5/√41.

This answer must be simplified since there is a radical in the denominator. To simplify, you can just multiply the numerator and the denominator by √41/√41 (since this is equivalent to 1).

This gives you the answer