SOLUTION: Value of sin square 50 degree+sin square 40 degree

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Question 1103241: Value of sin square 50 degree+sin square 40 degree
Answer by greenestamps(13215) About Me  (Show Source):
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40 degrees and 50 degrees are complementary angles; stated differently, they can be the two acute angles of a right triangle.

That means that, for you problem in particular, sin(40) = cos(50) -- according to the definition of the sine and cosine functions for a right triangle. Then
sin%2850%29%5E2%2Bsin%2840%29%5E2+=+sin%2850%29%5E2%2Bcos%2850%29%5E2+=+1