Addition of Ordinates for Circular Functions (VCE SSCE Mathematical Methods): Quizzes

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Addition of Ordinates for Circular Functions
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What is addition of ordinates?

Adding yy-values of 2 functions at each xx

Which applications use sums of trigonometric functions?

Audio compression & signal processing

If f(x)=0f(x) = 0 at a point, what does (f+g)(x)(f+g)(x) equal?

g(x)g(x)

If g(x)=0g(x) = 0 at a point, what does (f+g)(x)(f+g)(x) equal?

f(x)f(x)

If both f(x)f(x) and g(x)g(x) are positive, how does (f+g)(x)(f+g)(x) compare to each function?

Greater than either individual function

If both f(x)f(x) and g(x)g(x) are negative, how does (f+g)(x)(f+g)(x) compare to each function?

More negative than either function

If f(x)>0f(x) > 0 and g(x)<0g(x) < 0, where does (f+g)(x)(f+g)(x) lie?

Between f(x)f(x) and g(x)g(x)

What are the zeros of the sum function (f+g)(x)(f+g)(x)?

Values where f(x)+g(x)=0f(x) + g(x) = 0

For y=2sinx+3cos(2x)y = 2\sin x + 3\cos(2x), what is yy at x=π2x = \frac{\pi}{2}?

1-1

What key points should be chosen when creating a table of values?

Where functions have maxima, minima, zeros

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