What is the general solution for cos^{23}(x)+cos^2(x)=0 ?

The general solution for cos^{23}(x)+cos^2(x)=0 is x= pi/2+2pin,x=(3pi)/2+2pin,x=pi+2pin

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cos^{23}(x)+cos^2(x)=0

cos^{23} (x) + cos^{2} (x) = 0

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn, x = π + 2 πn

Solution steps

cos^{23} (x) + cos^{2} (x) = 0

Solve by substitution

cos (x) = 0, cos (x) = - 1

cos (x) = 0 : x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

cos (x) = - 1 : x = π + 2 πn

Combine all the solutions

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn, x = π + 2 πn

sin (b) = 0.775

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

2 cos^{2} (x) = 3 \cdot cos (x)

4 (cos (x) + 1) cos (x) = 3

sin^{2} (x) + 1 = cos^{2} (x) - 2 sin^{4} (x)

What is the general solution for cos^{23}(x)+cos^2(x)=0 ?
The general solution for cos^{23}(x)+cos^2(x)=0 is x= pi/2+2pin,x=(3pi)/2+2pin,x=pi+2pin