To simplify the expression Cos^2(2п+t)+sin^2(3п/2-t), we can use the Pythagorean identity:
cos^2(x) + sin^2(x) = 1
Therefore, we have:
Cos^2(2п+t)+sin^2(3п/2-t)= 1 + 1= 2
So, the simplified expression is 2.
To simplify the expression Cos^2(2п+t)+sin^2(3п/2-t), we can use the Pythagorean identity:
cos^2(x) + sin^2(x) = 1
Therefore, we have:
Cos^2(2п+t)+sin^2(3п/2-t)
= 1 + 1
= 2
So, the simplified expression is 2.