Match each trigonometric function with its unit circle definition. note that angle a is correctly oriented for the unit circle definition, its terminal side intersects the unit circle at the point (x, y), and neither x nor y is equal to zero.

1. y
2. x
3. y/x
4. 1/y
5. 1/x
6. x/y

a. sin a
b. csc a
c. tan a
d. sec a
e. cos a
f. cot a

The required matching is a-1, b-4, c-3, d-5, e-2, f-6.

Step-by-step explanation:

Unit Circle is circle having radius 1 units and centered at origin.

The terminal side intersects the Unit Circle at the point (x, y), and neither x nor y is equal to zero.

So, perpendicular of triangle is y, base is x and hypotenuse is 1 unit.

It a right angled triangle,

Therefore the required matching is a-1, b-4, c-3, d-5, e-2, f-6.

step-by-step explanation:

multiplication is multiplication.   it might feel harder depending on what level of math you are in, but generally it will be the same old stuff, while implementing some new concepts and methods of solving work.