Question

Q5 Q31.) Use the Pythagorean Theorem to find the length of the missing side of the right triangle. Then find the value of each of the six trigonometric functions of theta.

Answer 1

Using similar right-angled triangle w/ sides 3,4,5, a=20*3/5=12

sinA=12/20=3/5
cosA=16/20=4/5
tanA=12/16=3/4
cscA=20/12=5/3
secA=20/16=5/4

Answer 2

a^2 + b^2 = c^2

a = sqrt(c^2 - b^2) = sqrt (20^2 - 16^2)

= 12

sin$\theta$ = a/c = 12/20

= 3/5

cos$\theta$ = b/c = 16/20

= 4/5

tan$\theta$ = a/b = 12/16

= 3/4

csc$\pi$ = c/a = 20/12

= 5/3

= 1 2/3

sec$\pi$ = c/b = 20/16

= 5/4

= 1 1/4