Basic Math Examples

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

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

Step 1

Simplify

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

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

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Step 1.1

Simplify each term.

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Step 1.1.1

Raise

46

$46$ to the power of

2

$2$ .

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

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

Step 1.1.2

Raise

58

$58$ to the power of

2

$2$ .

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

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

Step 1.1.3

Raise

70

$70$ to the power of

2

$2$ .

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

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

Step 1.1.4

Cancel the common factor of

2

$2$ .

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Step 1.1.4.1

Move the leading negative in

- 4900 \div 2

$- 4900 \div 2$ into the numerator.

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

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

Step 1.1.4.2

Factor

2

$2$ out of

46

$46$ .

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

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

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