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Your question is insufficiently precise, but I'll try to answer anyway.
"Sine squared theta" usually means "the value of the sine of theta, quantity squared".
"Sine theta squared" usually means "the value of the sine of the quantity theta*theta".
The two are not at all the same.
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What does 2sin squared theta equal and why?
It is 2*sin(theta)*sin(theta) because that is how multiplication is defined!
How do you solve 2 sin squared theta equals one fourth?
2 sin^2 theta = 1/4 sin^2 theta = 1/8 sin theta = sqrt(1/8) theta = arcsin(sqrt(1/8))
What is sin theta cos theta?
It's 1/2 of sin(2 theta) .
How do you solve r squared equals theta?
If r-squared = theta then r = ±sqrt(theta)
What is sin squared theta cos squared theta?
If there is a plus in between, that would be equal to 1, as a result of the Pythagorean Theorem. Otherwise, you can convert this into other forms with some of the trigonometric identities for multiplication, but you won't really get it into a simpler form.
