Trigonometry Examples

$3 y = \sin (2) (x + 1)$

Step 1

Divide each term in $3 y = \sin (2) (x + 1)$ by $3$ .

$\frac{3 y}{3} = \frac{\sin (2) (x + 1)}{3}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $3$ .

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Step 2.1.1

Cancel the common factor.

$\frac{3 y}{3} = \frac{\sin (2) (x + 1)}{3}$

Step 2.1.2

Divide $y$ by $1$ .

$y = \frac{\sin (2) (x + 1)}{3}$

$y = \frac{\sin (2) (x + 1)}{3}$

$y = \frac{\sin (2) (x + 1)}{3}$

Step 3

Simplify the right side.

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Step 3.1

Evaluate $\sin (2)$ .

$y = \frac{0.03489949 (x + 1)}{3}$

Step 3.2

Factor $3$ out of $3$ .

$y = \frac{0.03489949 (x + 1)}{3 (1)}$

Step 3.3

Separate fractions.

$y = \frac{0.03489949}{3} \cdot \frac{x + 1}{1}$

Step 3.4

Simplify the expression.

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Step 3.4.1

Divide $0.03489949$ by $3$ .

$y = 0.01163316 \frac{x + 1}{1}$

Step 3.4.2

Divide $x + 1$ by $1$ .

$y = 0.01163316 (x + 1)$

$y = 0.01163316 (x + 1)$

Step 3.5

Apply the distributive property.

$y = 0.01163316 x + 0.01163316 \cdot 1$

Step 3.6

Multiply $0.01163316$ by $1$ .

$y = 0.01163316 x + 0.01163316$

$y = 0.01163316 x + 0.01163316$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$