Math  /  Trigonometry

Question11. Provide a trigonometric equation. Considering only the space between x=0x=0 and 2π2 \pi, the equation must only have solutions at x=1x=1 and x=2x=2. Explain your thought process and the work you did to create the equation. You may round decimal values to 3 places. [ 6 marks]

Studdy Solution
Verify the solutions. Check that the function is zero only at x=1 x = 1 and x=2 x = 2 within the interval 0 0 to 2π 2\pi .
The function sin(π(x1.5)) \sin(\pi(x - 1.5)) has a period of 2 2 , so it will only be zero at x=1 x = 1 and x=2 x = 2 within the given interval.
The trigonometric equation is:
sin(π(x1.5))=0 \sin(\pi(x - 1.5)) = 0

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