Solve cos 2\theta = cos^2 \theta - 12

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

2 cos^{2} (θ) - 1 - cos^{2} (θ) + 12

Subtract the terms

More Steps

Evaluate

2 cos^{2} (θ) - cos^{2} (θ)

Factor the expression

(2 - 1) cos^{2} (θ)

Subtract the terms

1 \times cos^{2} (θ)

Calculate

cos^{2} (θ)

cos^{2} (θ) - 1 + 12

Add the numbers

cos^{2} (θ) + 11

cos^{2} (θ) + 11 = 0

Add or subtract both sides

cos^{2} (θ) = 0 - 11

Removing 0 doesn't change the value,so remove it from the expression

cos^{2} (θ) = - 11

Solution

θ \in / R

Alternative Form

No real solution

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