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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.

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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

abbusaicharan02

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

So the value is 85/84.

What are the six basic trigonometric functions?

Trigonometry is a field of mathematics related to specific functions of angles and their application to calculations. There are six trigonometric functions commonly used in trigonometric functions. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), second (sec), and cosecant (CSC).

Learn more about trigonometric functions here: https://brainly.com/question/1143565

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