# 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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