How to solve this trig equation

  • Thread starter Vee9
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  • #1
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Homework Statement



Solve for θ.
2sinθcosθ + 1 - 2sin^2θ = 0

Homework Equations





The Attempt at a Solution


I tried factoring, but I don't know how to continue with 2 diff ID's in one equation.
I don't know how to simplify it so that everything is in terms of one similar Identity.
:\
 

Answers and Replies

  • #2
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Do you know any identities for 2sinθcosθ and 1 - 2sin2θ?
 
  • #3
symbolipoint
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My mistake. You meant to show sin2(theta), and I misread this.
 
  • #4
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okay, I used 2sinxcos x and changed it to sin 2x so that I get:
-2sin^2(x) + sin2x + 1 = 0
How could I continue since I put everything in terms of sin?
 
Last edited:
  • #5
vela
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Find an identity for 1 - 2sin2x and use that.
 

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