b = √17, c = 9; find csc A

Question

Find the indicated trigonometric function value of A. Rationalize denominators containing radicals.

Answer 1

sometimes a, b, and c are used to denote sides of a right triangle, with c = the hypotenuse

b often the base and a = the altitude.

If so, then angle C = 90 degrees, A is the angle opposite side a, B is the angle opposite side b.

Apply the Pythagorean Theorem to get

c^2 = a^2 + b^2

81 = a^2 + 17

a = sqr(81-17) = sqr(64) = 8

cscA = 1/sinA

sinA = 8/9

cscA = 9/8

it helps to draw a rought sketch

it's not clear why this questiion is posted under the "calculus" category.