Trigonometric functions of any angle.

Given the ordered pair P , determine the requested sin, cos, or tan of angle . P (-5, -3) cos =

-(5√34)/34

Given the ordered pair P , determine the requested sin, cos, or tan of angle . P (6,-5) sin =

-(5√61)/61

Given the ordered pair P , determine the requested sec, csc, or cot of angle . P (-4,3) cot =

-4/3

Given the ordered pair P , determine the requested sec, csc, or cot of angle . P (-4,3) sec =

-5/4

Given the ordered pair P , determine the requested sin, cos, or tan of angle . P (6,-5) tan =

-5/6

Given the ordered pair P , determine the requested sin, cos, or tan of angle . P (5,5) tan =

1

Given the ordered pair P , determine the requested sin, cos, or tan of angle . P (-5, -3) tan =

3/5

Given the ordered pair P , determine the requested sec, csc, or cot of angle . P (-4,3) csc =

5/3

Given the ordered pair P , determine the requested sin, cos, or tan of angle . P (4, 5) tan =

5/4

Given the ordered pair P , determine the requested sin, cos, or tan of angle . P (4, 5) cos =

(4√41)/41

Given the ordered pair P , determine the requested sin, cos, or tan of angle . P (4, 5) sin =

(5√41)/41

Given the ordered pair P , determine the requested sin, cos, or tan of angle . P (6,-5) cos =

(6√61)/61

Given the ordered pair P , determine the requested sin, cos, or tan of angle . P (-5, -3) sin =

-(3√34)/34

sec =

r/ u

csc =

r/v

csc θ =

r/v

cos =

u/r

cot =

u/v

sin =

v/r

tan =

v/u

Mastery of the unit will allow you to:

work with scalar quantities work with vectors work with resultants

Given the ordered pair P , determine the requested sin, cos, or tan of angle . P (5,5) cos =

√2/2

Given the ordered pair P , determine the requested sin, cos, or tan of angle . P (5,5) sin =

√2/2