How Does Trigonometric Functions: Sine, Cosine, Tangent, Cosecant, Secant Work?

Imagine you're on a merry-go-round, trigonometric functions are like your friends who tell you where you are and how you’re moving as you spin around.

Think of a clock face, that’s like a circle. If you’re on the merry-go-round, imagine a line from the center to where you're sitting. That's your radius.

• Sine is like your height above the ground as you spin.
• Cosine is how far you are from the center along the ground.
• Tangent is like a slide, it shows how steep your ride is, comparing your height to your distance from the center.

Now imagine your friends who love to flip things upside down:

• Cosecant is just the opposite of sine, if sine tells you your height, cosecant tells you how many times bigger the radius is than your height.
• Secant does the same for cosine, it compares the radius to your distance from the center.

They’re like your friends who make everything more exciting by flipping things around! Imagine you're on a merry-go-round, trigonometric functions are like your friends who tell you where you are and how you’re moving as you spin around.

Think of a clock face, that’s like a circle. If you’re on the merry-go-round, imagine a line from the center to where you're sitting. That's your radius.

• Sine is like your height above the ground as you spin.
• Cosine is how far you are from the center along the ground.
• Tangent is like a slide, it shows how steep your ride is, comparing your height to your distance from the center.

Now imagine your friends who love to flip things upside down:

• Cosecant is just the opposite of sine, if sine tells you your height, cosecant tells you how many times bigger the radius is than your height.
• Secant does the same for cosine, it compares the radius to your distance from the center.

They’re like your friends who make everything more exciting by flipping things around!