SOLUTION: If sinA cosA=sqrt(2) then, A=45

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Question 926810: If sinA cosA=sqrt(2) then, A=45
Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
If sinA + cosA =sqrt(2) then, A=45
sin(45) + cos(45) = √2/2 + √2/2 = √2
.......
(cosx, sinx) Summary Unit Circle
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Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

we are given
sin%28A%29+%2B+cos%28A%29+=+sqrt%282%29 => A=45
substitute 45 degrees for A

sin%2845%29%2Bcos%2845%29+=+sqrt%282%29

1%2Fsqrt%282%29%2B1%2Fsqrt%282%29=sqrt%282%29

2%2Fsqrt%282%29=sqrt%282%29

2sqrt%282%29%2F%28sqrt%282%29sqrt%282%29%29=sqrt%282%29

2sqrt%282%29%2F%28sqrt%282%29%29%5E2=sqrt%282%29

cross%282%29sqrt%282%29%2Fcross%282%29=sqrt%282%29

sqrt%282%29=sqrt%282%29