How do you sketch a right triangle corresponding to cosθ=57 and find the third side, then find the other five trigonometric functions?

1 Answer
Mar 10, 2017

See below.

Explanation:

cosθ=( adjacent side ) / ( hypotenuse )=57

Adjacent side=5k ; Hypothenuse=7k

Let opposite side be x

By Pythagoras theorem,

49k2=25k2+x2

49k225k2=x2

x2=24k2

x=24k

x=26k

Third side = x=26k

sinθ=267

cosθ=57

tanθ=265

cotθ=526

secθ=75

cosecθ=726