Find the values of the trigonometric functions of 𝜃 from the information given. cot(𝜃) = − 7/9 , cos(𝜃) 0

Question

sin(𝜃)
 =

cos(𝜃)
 =

tan(𝜃)
 =

csc(𝜃)
 =

sec(𝜃)
 =

Raymond B. · Accepted Answer

tanx = -9/7 = opposite side/adjacent side = o/a, x is in either quadrant II or IV. if cosx >0, it's quadrant IV

hypotenuse squared =h = 9^2 + 7^2 = 81 + 49 = 130

h = sqr130

sinx = o/h = -9/sqr130 sines and cosecants <0 in quadrant IV

cscx = h/o = -sqr130/9

cosx = a/h = 7/sqr130 cosines and secants >0 in quadrant IV

secx = h/a =sqr130/7

Find the values of the trigonometric functions of 𝜃 from the information given. cot(𝜃) = − 7/9 , cos(𝜃) > 0