We can use the Pythagorean theorem to find the length of the hypotenuse:
h = sqrt(x^2 + y^2) = sqrt(6^2 + 8^2) = 10
Then, we can use the definitions of the trigonometric functions:
sin θ = y/h = 8/10 = 4/5
cos θ = x/h = 6/10 = 3/5
tan θ = y/x = 8/6 = 4/3
csc θ = 1/sin θ = 5/4
sec θ = 1/cos θ = 5/3
Therefore, the answer is B. csc θ = 5/4, sec θ = 5/3.
For a standard-position angle determined by the point (x, y), what are the values of the trigonometric functions?
For the point (6, 8), find csc θ and sec θ.'
A. csc θ = 5/4, sec θ = 4/5
B. csc θ = 5/4, sec θ = 5/3
C. csc θ = 4/5, sec θ = 5/3
D. csc θ = 4/5, sec θ = 3/5
1 answer