# Simplify sin(150)^2+cos(30)^2

Simplify sin(150)^2+cos(30)^2
Simplify each term.
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
The exact value of is .
Apply the product rule to .
One to any power is one.
Raise to the power of .
The exact value of is .
Apply the product rule to .
Rewrite as .
Rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Evaluate the exponent.
Raise to the power of .
Combine the numerators over the common denominator.