Asked by Selma
                Solev the equation for t if 0 is less than or eual to t which is less than 2 pi
7sin + radical3 = 5 sin t
            
        7sin + radical3 = 5 sin t
Answers
                    Answered by
            Reiny
            
    7sin + radical3 = 5 sin t
2sint = -√3
sint = -√3/2
From the ratios of the 30,60,90 triangle, I know that the angle in standard postion would be 60º or pi/3 radians.
t must be in the III or IV quadrants,
so t = 180+60 = 240º
or t = 360-60 = 300º
in radians that would be 4pi/3 and 5pi/3
    
2sint = -√3
sint = -√3/2
From the ratios of the 30,60,90 triangle, I know that the angle in standard postion would be 60º or pi/3 radians.
t must be in the III or IV quadrants,
so t = 180+60 = 240º
or t = 360-60 = 300º
in radians that would be 4pi/3 and 5pi/3
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