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Norma-Jean [14]
3 years ago
15

Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (13, 84) lies

on its terminal side.
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
3 0

Answer:

If P = (x,y) then formulas for each trigonometric functions are:

sin x = y/r

cos x = x/r

tan x = y/x

cot x = x/y

sec x = r/x

cosec x = r/y

where r = √(x²+y²).

First find r:

r = √(13²+84²)=√(169+7056)=√7225=85.

Then just substitute:

sin x = 84/85

cos x = 13/85

tan x = 84/13

cot x = 13/84

sec x = 85/13

cosec x = 85/84

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