A function of the form f(x)= sin(ax+b) is given and plotted. A few points are plotted on the curve. $x$-coordinates are provided for two of them and $y$-coordinate provided for third. Student is required to determine other coordinates.
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\nRemember to check that your answer makes sense. You can approximate the coordinates of $A,B$ and $C$ by looking at the graph. To get exact coordinates, you need to do some calculations.
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\n{plot(a,b,0,x0, f0, x1, f1, x2, f2)}
\n\nThe $x$-coordinate of $A$ is $\\var{x0}$ and of $B$ is $\\var{x1}$. The $y$-coordinate of $C$ is $0$.
\n\nDetermine the coordinates of $A,B$ and $C$. Give your answer to 3 s.f..
\n\nCoordinates of A: [[0]]
\nOf B: [[1]]
\nOf C: [[2]]
\n", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "customMarkingAlgorithm": "", "marks": 0}], "statement": "This is a calculator question.
", "variablesTest": {"maxRuns": 100, "condition": ""}, "type": "question", "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}]}]}], "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}]}