How do you find the sum and difference of tangent?

Taming Tangents: Unlocking the Secrets of Sums and Differences

Tangents. They can seem a bit intimidating at first, right? But trust me, once you get the hang of them, they become incredibly useful, especially when you’re wrestling with angles and their sneaky relationships inside triangles. Sure, knowing the basic tangent function is key, but the real magic happens when you start playing around with tangents of different angles. That’s where the sum and difference formulas come to the rescue. Think of them as secret weapons that let you express the tangent of combined angles in terms of their individual tangents. Pretty neat, huh?

Cracking the Code: The Tangent Sum Formula

Okay, let’s dive into the tangent sum formula. Basically, it lets you figure out the tangent of two angles added together (A + B) using the tangents of A and B separately. Here’s the formula itself: