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    A Series of Trigonometry Problems

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    I have some trig questions I need help with:

    1. find the number of degrees in the measure of the smallest positive angle that satisfies the equation 2cos(x) + 1 = 0

    2. In the interval 0 degrees < (or equal to) x < (or equal to) 360 degrees, sin (x) = -1. Find the number of degrees in the measure of angle x
    3. If x is a positive acute angle and 2cos(x) + 3 = 4, find the number of degrees in the measure of angle x.
    4. If angle x is in Quadrant III and 2tan(x) - 3=3tan(x) - 4, find the number of degrees in the measure of angle x.

    5. In the interval 0 degrees < (or equal to) x < (or equal to) 360 degrees, how many values of x satisfy the equation 3sin (squared) (x) + sin(x) - 2 = 0?

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    https://brainmass.com/math/trigonometry/series-trigonometry-problems-535376

    Solution Preview

    1. 2cos(x)+1 = 0
    Subtract both sides of the equation by -1 to get:
    2cos(x)=-1
    Divide both sides of the equation by 2 to get:
    Cos(x)=(-1/2)
    X should be 120 degrees

    2. Sin(x)=-1
    x ...

    Solution Summary

    This solution explains how to solve a series of trigonometry problems by showing how the problems should be solved step-by-step.

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