When we look at trigonometric functions, it's really cool to see how these six main functions show how angles and sides of right triangles relate to each other. Let’s break each one down in a simple way:
Sine (): For an angle called , sine is how long the side opposite the angle is compared to the longest side (the hypotenuse). So, we can say .
Cosine (): Cosine looks at the angle too, but it relates the side next to the angle (the adjacent side) to the hypotenuse. This gives us .
Tangent (): Tangent is a bit different. It compares the opposite side to the adjacent side. So, we write it as .
Next, there are three functions that are the "flips" of the ones we just talked about:
Cosecant (): This function flips sine, so you can think of it as the opposite of sine. We write it as .
Secant (): This one flips cosine. So we have .
Cotangent (): This flips tangent. For cotangent, we write it as .
Learning about these functions opens up many exciting opportunities in math!
When we look at trigonometric functions, it's really cool to see how these six main functions show how angles and sides of right triangles relate to each other. Let’s break each one down in a simple way:
Sine (): For an angle called , sine is how long the side opposite the angle is compared to the longest side (the hypotenuse). So, we can say .
Cosine (): Cosine looks at the angle too, but it relates the side next to the angle (the adjacent side) to the hypotenuse. This gives us .
Tangent (): Tangent is a bit different. It compares the opposite side to the adjacent side. So, we write it as .
Next, there are three functions that are the "flips" of the ones we just talked about:
Cosecant (): This function flips sine, so you can think of it as the opposite of sine. We write it as .
Secant (): This one flips cosine. So we have .
Cotangent (): This flips tangent. For cotangent, we write it as .
Learning about these functions opens up many exciting opportunities in math!