Trigonometry Examples

$g (- 3 π) = \sec (t)$

Step 1

Divide each term in $g (- 3 π) = \sec (t)$ by $- 3 π$ .

$\frac{g (- 3 π)}{- 3 π} = \frac{\sec (t)}{- 3 π}$

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.

$\frac{g (- 3 π)}{- 3 π} = \frac{\sec (t)}{- 3 π}$

Step 2.1.2

Rewrite the expression.

$\frac{g (π)}{π} = \frac{\sec (t)}{- 3 π}$

Step 2.2

Cancel the common factor of $π$ .

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Step 2.2.1

Cancel the common factor.

$\frac{g π}{π} = \frac{\sec (t)}{- 3 π}$

Step 2.2.2

Divide $g$ by $1$ .

$g = \frac{\sec (t)}{- 3 π}$

Step 3

Simplify the right side.

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Step 3.1

Move the negative in front of the fraction.

$g = - \frac{\sec (t)}{3 π}$