How do you find the values of all six trigonometric functions of a right triangle ABC where C is the right angle, given a=7, b=24, c=25?

Question

11387 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-19T15:57:41

See below:

Side A: 7 opposite angle: 16.26°
Side B: 24 opposite angle: 73.74°
Side C: 25 opposite angle: 90°

Well it depends which angle you want the trig values of, let's look at angle #alpha# (opposite side A):

opposite is: 7
adjacent is: 24
hypotenuse is: 25

#sin = "opp"/"hypot" = 7/25#

#cos = "adj"/"hypot" = 24/25#

#tan = "opp"/"adj" = 7/24#

#sec = 1/"cos" = 25/24#

#csc = 1/"sin" = 25/7#

#cot = 1/"tan" = 24/7#