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5 September, 07:29

Given sin x=0.5, what is cos x? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

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  1. 5 September, 09:52
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    The given function sin x=0.5 represents a standard triangle which is same with sin x = 1/2.

    Where using SOH, we can get the value of the opposite leg which is O=1 and the hypotenuse is equal to H=2. Therefore, the adjacent leg is equal to A=√3.

    Solving for cos x, we can use CAH and the result is shown below:

    cos x = √3/2

    The answer is cos x = √3 / 2.
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