Trigonometry Examples

$\cos (40) \cos (50) - \sin (40) \sin (50)$

Step 1

Simplify each term.

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Step 1.1

Evaluate $\cos (40)$ .

$0.76604444 \cos (50) - \sin (40) \sin (50)$

Step 1.2

Evaluate $\cos (50)$ .

$0.76604444 \cdot 0.6427876 - \sin (40) \sin (50)$

Step 1.3

Multiply $0.76604444$ by $0.6427876$ .

$0.49240387 - \sin (40) \sin (50)$

Step 1.4

Evaluate $\sin (40)$ .

$0.49240387 - 1 \cdot 0.6427876 \sin (50)$

Step 1.5

Multiply $- 1$ by $0.6427876$ .

$0.49240387 - 0.6427876 \sin (50)$

Step 1.6

Evaluate $\sin (50)$ .

$0.49240387 - 0.6427876 \cdot 0.76604444$

Step 1.7

Multiply $- 0.6427876$ by $0.76604444$ .

$0.49240387 - 0.49240387$

Step 2

Subtract $0.49240387$ from $0.49240387$ .

$0$