If cos(theta)=12/13 and theta is in the fourth quadrant, what is csc(theta)

Answer 1

If cos θ = 12/13, this means the Adjacent side = 12 and the Hypotenuse = 13.

Using the Pythagorean Theorem, we can find the opposite side.

a²+b²=c² Plug in values

12²+b²=13² Simplify

144+b²=169 Subtract 144 from both sides

b²=25 Take the square root of both sides, b=5 (Opposite side)

To find the csc θ this would be Hypotenuse/Opposite

csc θ =13/5