Trigonometry Examples

$9 = - 5 \cos (2) t + 8 \sin (2) t$

Step 1

Simplify $- 5 \cos (2) t + 8 \sin (2) t$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Evaluate $\cos (2)$ .

$9 = - 5 \cdot 0.99939082 t + 8 \sin (2) t$

Step 1.1.2

Multiply $- 5$ by $0.99939082$ .

$9 = - 4.99695413 t + 8 \sin (2) t$

Step 1.1.3

Evaluate $\sin (2)$ .

$9 = - 4.99695413 t + 8 \cdot 0.03489949 t$

Step 1.1.4

Multiply $8$ by $0.03489949$ .

$9 = - 4.99695413 t + 0.27919597 t$

Step 1.2

Add $- 4.99695413 t$ and $0.27919597 t$ .

$9 = - 4.71775816 t$

Step 2

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

$t \approx 0.96204069$

Step 3