Trigonometry Examples

$x = 2 \sin (- 6) + 3 \cos (- 6)$

Step 1

Simplify $2 \sin (- 6) + 3 \cos (- 6)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Evaluate $\sin (- 6)$ .

$x = 2 \cdot - 0.10452846 + 3 \cos (- 6)$

Step 1.1.2

Multiply $2$ by $- 0.10452846$ .

$x = - 0.20905692 + 3 \cos (- 6)$

Step 1.1.3

Evaluate $\cos (- 6)$ .

$x = - 0.20905692 + 3 \cdot 0.99452189$

Step 1.1.4

Multiply $3$ by $0.99452189$ .

$x = - 0.20905692 + 2.98356568$

Step 1.2

Add $- 0.20905692$ and $2.98356568$ .

$x = 2.77450875$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx 3.43934185$

Step 3