Homework HW 63 Trigonometri Score 0 of 1 pt 6333 The termina

Homework: HW 6.3 Trigonometri Score: 0 of 1 pt 6.3.33 The terminal side of the angle in standard position lies on the given line in the given quadrant. Find sin , cos , and tan . 2x-5y 0, Quadrant I (Type an exact answer, using radicals as needed. Rationalize all denominators.) En

Solution

2x - 5y = 0

5y = 2x

y= 2/5 x

slope = 2/5

tan theta = 2/5

perpendicular = 2 , base = 5

hypotenuse = sqrt ( 5^2 + 2^2 ) = sqrt 29

sin theta = 2/ sqrt 29 = 2 sqrt 29 / 29

cos theta = 5 / sqrt 29 = 5 sqrt 29 / 29