4. (10 points) From the given triangle: a) Find the value of side a. if the other sides are 13 for the hypotenuse and 5
b) Find the following trigonometric values:
sinθ =
cosθ =
tanθ =
cscθ =
secθ =
cotθ =

sinθ =  y/r        sinθ =

cosθ =  x/r       cosθ =

tanθ =  y/x       tanθ =  

cscθ =  r/y       cscθ =

secθ =  r/x       secθ =  

cotθ = x/y       cotθ =

explanation:

r =

r = 10

x = 8

y = -6

r =

r = 5

x = 4

y = 3

20

step-by-step explanation:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet