Calculus Examples

$- 558 \sin (186 (0.002)) \sin (186 (0.002)) + 558 \cos (186 (0.002)) \cos (186 (0.002))$

Step 1

Multiply $186$ by $0.002$ .

$- 558 \sin (0.372) \sin (186 (0.002)) + 558 \cos (186 (0.002)) \cos (186 (0.002))$

Step 2

Multiply $186$ by $0.002$ .

$- 558 \sin (0.372) \sin (0.372) + 558 \cos (186 (0.002)) \cos (186 (0.002))$

Step 3

Multiply $- 558 \sin (0.372) \sin (0.372)$ .

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Step 3.1

Raise $\sin (0.372)$ to the power of $1$ .

$- 558 (\sin^{1} (0.372) \sin (0.372)) + 558 \cos (186 (0.002)) \cos (186 (0.002))$

Step 3.2

Raise $\sin (0.372)$ to the power of $1$ .

$- 558 (\sin^{1} (0.372) \sin^{1} (0.372)) + 558 \cos (186 (0.002)) \cos (186 (0.002))$

Step 3.3

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$- 558 {\sin (0.372)}^{1 + 1} + 558 \cos (186 (0.002)) \cos (186 (0.002))$

Step 3.4

Add $1$ and $1$ .

$- 558 \sin^{2} (0.372) + 558 \cos (186 (0.002)) \cos (186 (0.002))$

Step 4

Multiply $186$ by $0.002$ .

$- 558 \sin^{2} (0.372) + 558 \cos (0.372) \cos (186 (0.002))$

Step 5

Multiply $186$ by $0.002$ .

$- 558 \sin^{2} (0.372) + 558 \cos (0.372) \cos (0.372)$

Step 6

Multiply $558 \cos (0.372) \cos (0.372)$ .

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Step 6.1

Raise $\cos (0.372)$ to the power of $1$ .

$- 558 \sin^{2} (0.372) + 558 (\cos^{1} (0.372) \cos (0.372))$

Step 6.2

Raise $\cos (0.372)$ to the power of $1$ .

$- 558 \sin^{2} (0.372) + 558 (\cos^{1} (0.372) \cos^{1} (0.372))$

Step 6.3

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$- 558 \sin^{2} (0.372) + 558 {\cos (0.372)}^{1 + 1}$

Step 6.4

Add $1$ and $1$ .

$- 558 \sin^{2} (0.372) + 558 \cos^{2} (0.372)$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- 558 \sin^{2} (0.372) + 558 \cos^{2} (0.372)$

Decimal Form:

$410.55715264 \dots$