What is the general solution for sin^2(x)+cos^2(x)+cos(x)=2 ?

The general solution for sin^2(x)+cos^2(x)+cos(x)=2 is x=2pin

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sin^2(x)+cos^2(x)+cos(x)=2

sin^{2} (x) + cos^{2} (x) + cos (x) = 2

x = 2 πn

Solution steps

sin^{2} (x) + cos^{2} (x) + cos (x) = 2

Rewrite using trig identities

cos (x) + 1 = 2

Move

1

to the right side

cos (x) = 1

General solutions for

cos (x) = 1

x = 0 + 2 πn

Solve

x = 0 + 2 πn : x = 2 πn

x = 2 πn

\frac{sin ^{3} ( x )}{sin ( x )} = 0

sin (135 - x) = sin (x)

tan (x) - 4 = - 1

4 cos^{2} (x) - 8 cos (x) + 3 = 0

sin (2 x) = - 0.6

What is the general solution for sin^2(x)+cos^2(x)+cos(x)=2 ?
The general solution for sin^2(x)+cos^2(x)+cos(x)=2 is x=2pin