Apps. and Interpretation for IBDP Maths Ebook 1 | Page 149

2. Consider the trigonometric function f ( x) �1� 3cos x , where 0 �x
� 720 .
(a) Write down the amplitude of the function f( x ).
(b) Find the maximum value of the function f( x ).
(c) Solve the equation f( x) �� 2.
3. Consider the trigonometric function f ( x) �2sin 4x
� 3, where �90 � x � 90 .
[1]
[2]
[3]
12
(a) Find the period of the function f( x ).
(b) Write down the range of the function f( x ).
(c) Solve the equation f( x) �4 � 0 .
[2]
[2]
[3]
4. Consider the trigonometric function
1 1 1
f ( x) � � cos x � , where 0 �x
� 1080 .
2 3 4
(a) Write down the amplitude of the function f( x ).
(b) Write down the range of the function f( x ).
(c) Solve the equation 2 f( x) �1� 0.
[1]
[2]
[3]
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