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Natasha2012 [34]

2 years ago

12

Express cos^2 x in terms of cos2x. Hence, express f(x) = 6cos^2 x - 4sin 2x in the form R cos (2x + Y degrees) + p where R, y an

d p are constants. Find the maxium and minimum values of f(x) and sketch its graph in the domain -180 <= x <= 360

1 answer:

Lady bird [3.3K]2 years ago

8 0

2cos^2 x = 1 + cos 2x
cos^2 x = 1/2(1 + cos 2x)
f(x) = 6cos^2 x - 4 sin 2x = 6(1/2(1 + cos 2x) - 4 sin 2x = 3 + 3cos 2x - 4sin 2x

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Answer:

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The composite function of f and g is given by:

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In this question:

$f(x) = x - 3, g(x) = x^2$

Composite function:

The composite function is:

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At x = 1

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