What is the general solution for cos^4(a)=3+4cos^2(a)+cos^4(a) ?

The general solution for cos^4(a)=3+4cos^2(a)+cos^4(a) is No Solution for a\in\mathbb{R}

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cos^4(a)=3+4cos^2(a)+cos^4(a)

cos^{4} (a) = 3 + 4 cos^{2} (a) + cos^{4} (a)

No Solution for a \in R

Solution steps

cos^{4} (a) = 3 + 4 cos^{2} (a) + cos^{4} (a)

Solve by substitution

cos (a) = i \frac{3}{2}, cos (a) = - i \frac{3}{2}

cos (a) = i \frac{3}{2} :

No Solution

cos (a) = - i \frac{3}{2} :

No Solution

Combine all the solutions

No Solution for a \in R

cos^{4} (t) = 1

8 cos^{2} (x) - 12 sin (x) - 12 = 0

1 - cos (x) = 2

8 sin^{2} (x) + 6 cos^{2} (x) = 10

sin^{2} (9 0^{\circ} - b) + cos^{2} (b - 45 0^{\circ}) = 1

What is the general solution for cos^4(a)=3+4cos^2(a)+cos^4(a) ?
The general solution for cos^4(a)=3+4cos^2(a)+cos^4(a) is No Solution for a\in\mathbb{R}