1. **Understanding the Problem:** You want to learn trigonometry specifically for conduit bending, which involves calculating angles and lengths to bend conduits accurately. 2. **Key Trigonometric Concepts:** The main trigonometric functions used are sine ($\sin$), cosine ($\cos$), and tangent ($\tan$). These relate the angles of a right triangle to the ratios of its sides. 3. **Basic Formulas:** - $\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$ - $\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$ - $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$ 4. **Application to Conduit Bending:** - To find the length of conduit to bend, use the angle of the bend and the radius of the bend. - The length of the arc (bent part) is $L = \theta \times r$ where $\theta$ is in radians. - Convert degrees to radians: $\theta_{rad} = \theta_{deg} \times \frac{\pi}{180}$. 5. **Example:** - If you need a 45° bend with a radius of 6 inches: - Convert angle: $45 \times \frac{\pi}{180} = \frac{\pi}{4}$ radians. - Calculate length: $L = \frac{\pi}{4} \times 6 = \frac{6\pi}{4} = 4.71$ inches. 6. **Summary:** - Learn to identify right triangles in conduit bends. - Use sine, cosine, and tangent to find missing sides or angles. - Convert angles to radians when calculating arc lengths. - Practice with real conduit bending problems to apply these concepts.