The value of sin^2 30° - cos^2 30° is

-1/2

Step-by-step explanation:

Im not going to go into detail about how to compute sin30 and cos 30, but know that sine and cosine are just the ratios between the sides of a 30-60-90 triangle with a hypothenuse of 1.

With that being said:

sin^2 30 - cos^2 30

= (1/2) ^2 - ((sqrt3) / 2) ^2

= 1/4 - 3/4

= - 1/2