Create a Quiz. The academic subject for which the text must be created - Mathematics. Content must be appropriate for Year or Grade 11. Requ...
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Which subjectMathematics
What age groupYear or Grade 11
What topicSolving multiple angle trig equations
Question typesOpen-ended
Number of questions6
Number of answers4
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Grade 11 Mathematics Quiz: Solving Multiple Angle Trigonometric Equations

Instructions

1. Solve the equation ( \cos(2x) = \frac{1}{2} ) for ( x ) in the interval ( [0, 2\pi) ).

2. Find all solutions of the equation ( \sin(3x) = 0 ) for ( x ) in the interval ( [0, 2\pi) ).

3. Determine the general solution for the equation ( \tan(4x) = 1 ).

4. Solve the equation ( \sin(2x) + \sin(x) = 0 ) for ( x ) in the interval ( [0, 2\pi) ).

5. Find the values of ( x ) that satisfy the equation ( \cos(2x) - \sin(x) = 0 ) in the interval ( [0, 2\pi) ).

6. Solve for ( x ) in the equation ( 2\sin(2x) = \sqrt{3} ) for ( x ) in the interval ( [0, 2\pi) ).


Good luck!