Answer: Read the step by step explanation for the answer
Explanation:
We can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the given point (4, 3) and the origin (0, 0):
r = √(4² + 3²) = 5
Then we can use the coordinates of the point (4, 3) to determine the values of the trigonometric functions:
sin(θ) = opposite/hypotenuse = 3/5
cos(θ) = adjacent/hypotenuse = 4/5
tan(θ) = opposite/adjacent = 3/4
csc(θ) = hypotenuse/opposite = 5/3
sec(θ) = hypotenuse/adjacent = 5/4
cot(θ) = adjacent/opposite = 4/3
Therefore, the values of the six trigonometric functions of θ are:
sin(θ) = 3/5
cos(θ) = 4/5
tan(θ) = 3/4
csc(θ) = 5/3
sec(θ) = 5/4
cot(θ) = 4/3