Sin squared 30 + cos squared 30​

Step-by-step explanation:

Substitute in the expression,

\sin^230^\circ-\cos^230^\circ=(\frac{1}{2})^2-(\frac{\sqrt3}{2})^2sin

2

30

∘

−cos

2

30

∘

=(

2

1

)

2

−(

2

3

)

2

\sin^230^\circ-\cos^230^\circ=\frac{1}{4}-\frac{3}{4}sin

2

30

∘

−cos

2

30

∘

=

4

1

−

4

3

\sin^230^\circ-\cos^230^\circ=-\frac{2}{4}sin

2

30

∘

−cos

2

30

∘

=−

4

2

\sin^230^\circ-\cos^230^\circ=-\frac{1}{2}sin

2

30

∘

−cos

2

30

∘

=−

2

1