Let (-6, -5) be a point on the terminal side of 0.
Find the exact values of sin0, sec0, tan0
To find the exact values of sinθ, secθ, and tanθ at the given point (-6, -5), we can use the Pythagorean theorem.
First, we need to find the length of the hypotenuse (r) using the coordinates of the point:
r = sqrt((-6)^2 + (-5)^2) = sqrt(36 + 25) = sqrt(61)
Now, we can find the values of sinθ, secθ, and tanθ:
sinθ = y/r = -5/sqrt(61)
secθ = r/x = sqrt(61)/-6 = -sqrt(61)/6
tanθ = y/x = -5/-6 = 5/6
Therefore, the exact values of sinθ, secθ, and tanθ at the given point (-6, -5) are:
sinθ = -5/sqrt(61)
secθ = -sqrt(61)/6
tanθ = 5/6