Question

Can someone help me?

Answer 1

Explanation:

To do this, we must use the unit circle. At the angle
`(\pi )/(6)` the coordinate pair is (
`(√(3) )/(2)`,
`(1)/(2)`) and the hypotenuse is 1

Now that we know these we can start using the trig functions

sin = y

cos = x

tan =
`(y)/(x)`

And the other functions would be the reciprocal of these

csc =
`(1)/(y)`

sec =
`(1)/(x)`

cot =
`(x)/(y)`

This would mean that

sinx =
`(1)/(2)`

cosx =
`(√(3) )/(2)`

tanx =
`(1)/(√(3) )` or
`(√(3) )/(3)` if you're supposed to rationalize your denominators

cscx = 2

secx =
`(2)/(√(3) )` or
`(2√(3) )/(3)`

cot =
`√(3)`