In the diagram, the lower curve has equation $$$y=\cos \theta$$$. The upper curve shows the result of applying a combination of transformations to $$$y=\cos \theta$$$. Find, in terms of a cosine function, the equation of the upper curve. ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................ ............................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_w20_qp_11 Year：2020 Question No：4

Answer:

$(y=)[3]+[2]\left[\cos \frac{1}{2} \theta\right]$

Knowledge points:

1.2.5 understand and use the transformations of the graph of and simple combinations of these. (Including use of the terms ‘translation’, ‘reflection’ and ‘stretch’ in describing transformations. Questions may involve algebraic or trigonometric functions, or other graphs with given features.)

1.5.1 sketch and use graphs of the sine, cosine and tangent functions (for angles of any size, and using either degrees or radians)

Answer:

Knowledge points:

Solution:

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