Question

How do you evaluate `sin^2 ((pi)/6)`?

Answer 1

`sin^2(pi/6)=1/4`

Explanation:

`sin(pi/6)=1/2`

`sin^2(pi/6)` is another way of writing: `(sin(pi/6))^2`

So
`color(white)("XXX")sin^2(pi/6)=(1/2)^2=1/4`

Answer 2

`1/4`

Explanation:

`sin^2(pi/6) = sin(pi/6)xxsin(pi/6)`

and using the`color(blue)" Exact value triangle ""for this angle"`

`sin(pi/6) = 1/2`

`rArr sin^2(pi/6) = 1/2xx1/2 = 1/4`