Find the values of sin θ, cos θ, and tan θ for the given right triangle (in the link below). Give the exact values.
www.webassign.net/aufexc2/8-5-003.gif
sin θ=
cos θ=
tan θ=
Looks like you need to review your basic trig functions. The hypotenuse is 13, so sinθ = 5/13
and you cane read off all the other trig functions from the triangle.
To find the values of sin θ, cos θ, and tan θ for the given right triangle in the provided link (www.webassign.net/aufexc2/8-5-003.gif), we need to use the ratios of the sides of the right triangle.
The given triangle is a right triangle, where one angle θ is marked. The side opposite the angle θ is labeled "y" in the image, and the side adjacent to the angle θ is labeled "x" in the image.
Using the definitions of the trigonometric ratios, we have:
sin θ = opposite/hypotenuse
cos θ = adjacent/hypotenuse
tan θ = opposite/adjacent
In the given triangle, the hypotenuse (the side opposite the right angle) is labeled "r".
Looking at the image provided, we see that the length of the side opposite θ (y) is given as 6, and the length of the side adjacent to θ (x) is given as 8.
Using this information, we can calculate the values of sin θ, cos θ, and tan θ:
sin θ = y/r = 6/r
cos θ = x/r = 8/r
tan θ = y/x = 6/8 = 3/4
Since we don't have the exact length of the hypotenuse "r" in the image, we cannot simplify the values any further.
Therefore, the values of sin θ, cos θ, and tan θ for the given right triangle are:
sin θ = 6/r
cos θ = 8/r
tan θ = 3/4