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Form 4 Mathematics graphs of trigonometric functions questions and answers

(a) Complete the table below giving your values to correct 1 decimal place.

(b) On the grid provided, using the same scale and axes draw the graph of
y=2sin( $x+20^0$ ) and y= $sqrt3$ cos x for $0^0lexle240^0$
(c) Using the same graphs drawn in (b) above to
determine:
(i)the values of x for which 2sin( $x+20^0$ )= $sqrt3$ cosx
(ii)the difference in the amplitude of y=2sin( $x+20^0$ ) and y= $sqrt3$ cos x

(15m 5s)

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