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.

b is the correct answer

1) the property is   ixi = a ⇔x = a   o x = -a

4(x-5)+3= 15⇒4x-20+3 = 15⇒4x-17= 15⇒4x = 15+17⇒4x = 32⇒x =32/4= 8

4(x-5) +3= -15⇒4x-20 +3 = -15⇒4x-17= -15⇒4x =-15+17⇒4x = 2⇒x =2/4= 1/2

the values are x =8 and x = 0,5