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Need help on number 17, trigonometric functions

Need help on number 17, trigonometric functions-example-1

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Explanation:

we can use the equation


n(sinu)(sinv)= (n)/(2) [cos(u-v)-cos(u+v)]

Where

n = 16

u = 16x

v = 11x

We can substitute in these values to get the sum


(16)/(2) [cos(16x-11x)-cos(16x+11x)]

This can be simplified to


8[cos(5x)-cos(27x)]

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