What is the general solution for cos(x)+(1-cos^2(x))sqrt(2)=0 ?

The general solution for cos(x)+(1-cos^2(x))sqrt(2)=0 is x=(3pi)/4+2pin,x=(5pi)/4+2pin

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cos(x)+(1-cos^2(x))sqrt(2)=0

cos (x) + (1 - cos^{2} (x)) 2 = 0

x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

Solution steps

cos (x) + (1 - cos^{2} (x)) 2 = 0

Solve by substitution

cos (x) = - \frac{2}{2}, cos (x) = 2

cos (x) = - \frac{2}{2} : x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

cos (x) = 2 :

No Solution

Combine all the solutions

x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

2 cos (3 θ) = 0

3 sin (x) + tan (x) = 0

2 sin^{4} (x) - cos^{2} (x) = 0

sin (b) = 0.4809

cos^{2} (x) - \frac{3}{4} = 0, 0 \leq x \leq 2 π

What is the general solution for cos(x)+(1-cos^2(x))sqrt(2)=0 ?
The general solution for cos(x)+(1-cos^2(x))sqrt(2)=0 is x=(3pi)/4+2pin,x=(5pi)/4+2pin