SOLUTION: If 0<A<pi/2 and sin A + 1= 2 sqrt(1-sin^2(A)), determine the value of sinA

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Question 1153087: If 0
Found 3 solutions by josgarithmetic, greenestamps, Alan3354:
Answer by josgarithmetic(39626)   (Show Source): You can put this solution on YOUR website!
If 0
No. The way you did that breaks the rendering.
If 0
What you tried to show is this:
If 0 leftarrow A leftarrow pi/2 and sin A + 1= 2 sqrt(1-sin^2(A)), determine the value of sinA


Written better, you probably have:
If and , determine the value of .
Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!




Square both sides:





Solve the quadratic equation by factoring:



OR

The restriction means sin(A) has to be between 0 and 1, so....

ANSWER: sin(A) = 3/5


Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
If 0 -------------
Put spaces around the < signs.
If 0 < A < pi/2 and sin A + 1= 2 sqrt(1-sin^2(A)), determine the value of sin(A)
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Use parentheses for sin(A)

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