Trigonometry Examples

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

Step 1

Simplify each term.

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Step 1.1

Evaluate $\cos (2)$ .

${0.99939082}^{2} x - 1 = 0$

Step 1.2

Raise $0.99939082$ to the power of $2$ .

$0.99878202 x - 1 = 0$

Step 2

Add $1$ to both sides of the equation.

$0.99878202 x = 1$

Step 3

Divide each term in $0.99878202 x = 1$ by $0.99878202$ and simplify.

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Step 3.1

Divide each term in $0.99878202 x = 1$ by $0.99878202$ .

$\frac{0.99878202 x}{0.99878202} = \frac{1}{0.99878202}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $0.99878202$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{0.99878202 x}{0.99878202} = \frac{1}{0.99878202}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{1}{0.99878202}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $1$ by $0.99878202$ .

$x = 1.00121946$