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Find all values of x such that sin(x)^2 + cos(x) + 1 = 0.

 Dec 5, 2019
 #1
avatar+19914 
0

1- cos^2 + cos +1 = 0

 

cos^2 -cos -2 =0      let cos^2 = x^2    use quadratic formula  to find x(or cos x) = 2 or -1     x is cos x and cannot = 2   throw this value out

 

cos x = -1     at  180 degrees       

 

Can someone else verify this answer??

 Dec 6, 2019
 #2
avatar+107016 
+1

Thanks EP,

 

Yes i will verify that.

 

x=(180+360n) degrees    where n is an integer.

 Dec 6, 2019
 #3
avatar+19914 
0

Thanx , Melody !  cheeky

ElectricPavlov  Dec 6, 2019

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