Sin squared is equal to 1 - cos squared.
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You can use the Pythagorean identity to solve this:(sin theta) squared + (cos theta) squared = 1.
Yes. Both expressions are the same.
In a right angled triangle its hypotenuse when squared is equal to the sum of its squared sides which is Pythagoras' theorem for a right angle triangle.
Well, darling, if we square the first equation and the second equation, add them together, and do some algebraic magic, we can indeed show that a squared plus b squared equals 89. It's like a little math puzzle, but trust me, the answer is as sassy as I am.
cos 71