SOLUTION: Find all the values of x in [0,2π] that satisfy (cosx)^2 −3sinx−3=0.

Question 983895: Find all the values of x in [0,2π] that satisfy (cosx)^2 −3sinx−3=0.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Use the identity cos^2 = 1 - sin^2 to go from this

to this

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Now combine like terms to get

Let which gives this new equation

Solve the equation for z, using the quadratic formula. There are 2 solutions for z and they are or

-------------------------------------------------------
Recall that so saying or really means

or

I'll let you solve from here. Use the unit circle. Hint: one of those equations has no solution.

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SOLUTION: Find all the values of x in [0,2&#960;] that satisfy (cosx)^2 &#8722;3sinx&#8722;3=0.

SOLUTION: Find all the values of x in [0,2π] that satisfy (cosx)^2 −3sinx−3=0.