Question

(1 point) Given sec(𝛼)=23‾√/3 and 𝛼 is in quadrant I, find the exact values of the remaining five trigonometric functions.
Note: You are not allowed to use decimals in your answer.

Answer 1

I suspect a typo, as before. I'll assume you meant that sec𝛼 = 2/√3
If you draw your triangle in standard position, then
r = 2
y = 1
x = √3
and then as usual,
sin𝛼 = y/r
cos𝛼 = x/r
tan𝛼 = y/x
and so on.