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Trigonometric functions

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For zero degrees < x < ninety degrees, how many solutions are there for the equation
2sin x = cos x

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Solution Summary

This determines the number of solutions of a trigonometric equation.

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2sinx=cosx
sinx/cosx=1/2
tanx=1/2
x=arctan(1/2)
tanx is a strictly increasing function on the interval 0<x<90
so there is only ...

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