Question

PLEASE HELPPPPPPP

Use what you've learned about cosecant, secant, and cotangent to solve the following problem. Unless otherwise stated, round your answers to the nearest thousandth. Use cosecant, secant, or cotangent to find the value of x.​

Answer 1

Hello! :)

`\large\boxed{x \approx 7.064}}`

In the diagram, we are given the opposite side of ∠A as 8.

We are trying to solve for the adjacent side, so we must use the appropriate trig.

Cotangent uses both the adjacent and opposite sides, so we can use this to find the value of x.

Cot (angle) = Adjacent / Opposite, therefore:

cot (28°) = x / 8

Multiply both sides by 8 to isolate for x:

8 · cos(28°) = x

Evalute cos(28°) using a calculator:

cos(28°) ≈ 0.88295

Multiply by 8 to solve for x:

8 · cos(28°) ≈ 7.064