SOLUTION: sin x=1/4 and 0 < (or equal to) x < (or equal to) pie/2, the cos x=? 1. square root 7/ 4 2. Square root 15/ 4 3. 3/4 4. 1/ square root of 15 5. 1/ square root of 17

SOLUTION: sin x=1/4 and 0 < (or equal to) x < (or equal to) pie/2, the cos x=? 1. square root 7/ 4 2. Square root 15/ 4 3. 3/4 4. 1/ square root of 15 5. 1/ square root of 17

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Question 39895: sin x=1/4 and 0 < (or equal to) x < (or equal to) pie/2, the cos x=?
1. square root 7/ 4
2. Square root 15/ 4
3. 3/4
4. 1/ square root of 15
5. 1/ square root of 17
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
We know that sin^2(x) + cos^2(x) = 1, so that
cos^2(x) = 1 - sin^2(x)
cos^2(x) = 1 - (1/4)^2 = 1 - 1/16
cos^2(x) = 15/16
cos(x) = sqrt(15) / 4
Choice 2.
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