Answer:
csc theta = 5/4
Step-by-step explanation:
cos theta = 3/5
cos theta = adjacent side/ hypotenuse
Let adjacent side = 3 and the hypotenuse = 5
csc theta = hypotenuse/ opposite side
We need to find the opposite side
We know that this is a right triangle, so we can use the Pythagorean theorem
(adj)^2 + (opp)^2 = (hyp)^2
3^2 + (opp)^2 = 5^2
9+ (opp)^2 = 25
Subtract 9 from each side
9-9+ (opp)^2 = 25-9
(opp)^2 = 16
Take the square root of each side
sqrt( (opp)^2) = sqrt(16)
opp = 4
csc theta = hypotenuse/ opposite side = 5/4
