Solve the equation , where is in radians and .
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Solve the equation , where is in radians and .
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Solve the equation for , where is in radians. Give your answers in terms of .
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In this question all lengths are in centimetres.
The diagram shows the isosceles triangle , where and . The height, , of the triangle is .
Find tan , giving your answer in the form, where are integers.
Find , giving your answer in the form , where are integers.
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Solve radians, giving your answers in terms of .
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Solve radians, giving your answers in terms of .
Use your answers to part (a) to sketch the graph of radians on the axes below. Show the coordinates of the points where the curve meets the axes.
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Solve .
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Solve the equation
,
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Solve , giving your answers in terms of .
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In this question, all angles are in radians.
Write down the amplitude of .
Write down the period of .
On the axes below, sketch the graph of for .
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The graph of , where and are constants, passes through the point and has period .
Find the value of and of .
On the axes, sketch the graph of for values of between 0° and 480°.
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Solve .
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The diagram shows the graph of radians.
Find the value of each of the constants and .
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The curve has a period of 180°, an amplitude of 20 and passes through the point . Find the value of each of the constants .
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The function is defined, for. Sketch the graph of on the axes below, stating the coordinates of the point where the graph crosses the -axis.
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Solve the equation
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Write down the amplitude of
Write down the period of
On the axes below, sketch the graph of .
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Show that .
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[4]
[4]
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Show that .
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Given that , show that .
Hence solve radians, giving your answers in terms of .
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Solve the equation .
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