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**[SOLVED] trigonometry math 30pure**

## Homework Statement

a student is given the following sinusoidal

2 sin^2 (x)-5sinx=3

## Homework Equations

1) Determine the solution to the equation , defined on the domain using a graphical approach over the domain 0 [tex]\leq[/tex] x [tex]\leq[/tex] 2 [tex]\pi[/tex]. Give solutions as exact values.

2) Determine the solution to the equation , defined on the domain using a algebraic approach over the domain 0 [tex]\leq[/tex] x [tex]\leq[/tex] 2 [tex]\pi[/tex]. Give solutions as exact values.

## The Attempt at a Solution

1) using my grafic calculator TI-83 plus i find this answers

- Equation: Y1= 2 sin^2 (x)-5sinx, Y2= 3
- Window: zoom trig
- I/Z= find intersection points.
- Answer: x= (-5)([tex]\pi[/tex])/6, (-1)([tex]\pi[/tex])/6, (7)([tex]\pi[/tex])/6, (11)([tex]\pi[/tex])/6

is it using the equation y= a Sin[b(x-c)]+d??

thanks