Question

Please help me with this !!

Answer 1

`(11)/(12)`

Explanation:

Using the Pythagorean identity

sin²x + cos²x = 1, then

cosx =
`√(1-sin^2x)`

note that (
`(√(23) )/(12)` )² =
`(23)/(144)`

cosΘ =
`\sqrt{1-(23)/(144) }` =
`\sqrt{(121)/(144) }` =
`(11)/(12)`