SOLUTION: Use algebra to solve the equation 4cos3x=-2/sin3x over the domain 0 greater than or equal to x and less than or equal to pi/3. Give exact answers.

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Question 750800: Use algebra to solve the equation 4cos3x=-2/sin3x over the domain 0 greater than or equal to x and less than or equal to pi/3. Give exact answers.
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Use algebra to solve the equation 4cos3x=-2/sin3x over the domain 0 greater than or equal to x and less than or equal to pi/3. Give exact answers.
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0 ≤ x ≤ π/3
4cos3x=-2/sin3x
4cos3xsin3x=-2
divide by 2
2cos3xsin3x=-1
sin6x=-1
6x=3π/2
x=3π/12=π/4