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Which of the following are solutions to the equation sinx cosx= square root 3/4 check all that apply
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Mar 25, 2018
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Which of the following are solutions to the equation sinx cosx= square root 3/4 check all that apply
Mathematics
high-school
JULIIncognito
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Answer:
radian form, x = pi/6 and pi/3
Farzana
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Mar 28, 2018
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Important to note: sin2x = 2sinxcosx
Since we know that property, we can divide both sides by 2 to yield: sin2x/2 = sinxcosx
So, sin2x/2 = sqrt(3)/4
sin2x = 2sqrt(3)/4 = sqrt(3)/2
2x = arcsin (sqrt(3)/2) = 60, 120 in the domain [0, 360]
x = 30, 60
Jonathan Anctil
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Mar 31, 2018
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Jonathan Anctil
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