# Trigonometry math 30pure

[SOLVED] trigonometry math 30pure

1. Homework Statement
a student is given the following sinusoidal

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

2. Homework Equations

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

3. 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)($$\pi$$)/6, (-1)($$\pi$$)/6, (7)($$\pi$$)/6, (11)($$\pi$$)/6
2) now in this point i need help to do it algrbraticaly, i cant figure out how to do it or find any other example in my notes...
is it using the equation y= a Sin[b(x-c)]+d??
thanks

Related Precalculus Mathematics Homework Help News on Phys.org
note: oh it looks like where there is a pi as if it was n^pi but is not ...is actually N x pie ..(the pie is timing the number infront of it.)

note that x only exists in the sin function, so you may do an appropriate substitution do get a more comfortable equation.

tiny-tim