Basic Math Examples

$\cos (B) = 46^{2} + 58^{2} - 70^{2} \div 2 \cdot 46 \cdot 58$

Step 1

Simplify $46^{2} + 58^{2} - 70^{2} \div 2 \cdot 46 \cdot 58$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Raise $46$ to the power of $2$ .

$\cos (B) = 2116 + 58^{2} - 70^{2} \div 2 \cdot 46 \cdot 58$

Step 1.1.2

Raise $58$ to the power of $2$ .

$\cos (B) = 2116 + 3364 - 70^{2} \div 2 \cdot 46 \cdot 58$

Step 1.1.3

Raise $70$ to the power of $2$ .

$\cos (B) = 2116 + 3364 - 4900 \div 2 \cdot 46 \cdot 58$

Step 1.1.4

Cancel the common factor of $2$ .

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Step 1.1.4.1

Move the leading negative in $- 4900 \div 2$ into the numerator.

$\cos (B) = 2116 + 3364 + - 4900 \div 2 \cdot 46 \cdot 58$

Step 1.1.4.2

Factor $2$ out of $46$ .

$\cos (B) = 2116 + 3364 + - 4900 \div 2 \cdot (2 (23)) \cdot 58$

Step 1.1.4.3

Cancel the common factor.

$\cos (B) = 2116 + 3364 + - 4900 \div 2 \cdot (2 \cdot 23) \cdot 58$

Step 1.1.4.4

Rewrite the expression.

$\cos (B) = 2116 + 3364 - 4900 \cdot 23 \cdot 58$

Step 1.1.5

Multiply $- 4900$ by $23$ .

$\cos (B) = 2116 + 3364 - 112700 \cdot 58$

Step 1.1.6

Multiply $- 112700$ by $58$ .

$\cos (B) = 2116 + 3364 - 6536600$

Step 1.2

Simplify by adding and subtracting.

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Step 1.2.1

Add $2116$ and $3364$ .

$\cos (B) = 5480 - 6536600$

Step 1.2.2

Subtract $6536600$ from $5480$ .

$\cos (B) = - 6531120$

Step 2

The range of cosine is $- 1 \leq y \leq 1$ . Since $- 6531120$ does not fall in this range, there is no solution.

No solution