Q. 1 - Precalculus Enhanced with Graphing Utilities

Question

In Problems $1-3$, convert each angle in degrees to radians. Express your answer as a multiple of $\mathrm{\pi }$.

$1. 260°$

Step-by-Step Solution

Answer

The angle measure in radians is $\frac{13\mathrm{\pi }}{9}$.

Step 1. Given information.

Given angle measure in degree is $260°$.

To convert the angle measure to radian, degree measure should be multiplied by $\frac{\mathrm{\pi }}{180°}$.

This gives

$260°\times \frac{\mathrm{\pi }}{180°}=\frac{13\mathrm{\pi }}{9}$.

Step 2: Identify the calculus concept

Determine which concept is being tested.

Step 3: Set up the problem

Write the problem in mathematical notation.

Step 4: Execute the computation

Apply calculus techniques step by step.

Step 5: State the result

Simplify and state the final answer.

Step 6: Conclude with the answer

The angle measure in radians is $\frac{13\mathrm{\pi }}{9}$.