Question

Pleaseeeee help me Find the exact value of cos T in simplest radical form.

Answer 1

Answer:
`(4)/(3√(5))`

Explanation:

From SOH CAH TOA, the cosine of an angle is the ratio between the side adjacent to the angle and the hypotenuse, the side opposing the right angle.

So in this case, cos T is adj/hyp or
`(4)/(√(75))` but we know that 75 = 5 × 5 × 3, so
`√(75) = 5√(3)` and
`(4)/(√(75))` can be simplified down to
`(4)/(3√(5))`