Reduce the ratio to its lowest form. 72:8

9:1

Step-by-step explanation:

Try to reduce the ratio further with the greatest common factor (GCF).  

The GCF of 72 and 8 is 8  

Divide both terms by the GCF, 8:

72 ÷ 8 = 9

8 ÷ 8 = 1  

The ratio 72 : 8 can be reduced to lowest terms by dividing both terms by the GCF = 8 :  

72 : 8 = 9 : 1  

Therefore:

72 : 8 = 9 : 1

sec ф = 5/3 (quadrant 4)

let x = base

y = perp

z = hypotenuse

sec ф = hypotenuse/base = 5/3

⇒ z = 5 and x = 3

finding y:

z² = x² + y²

5² = 3² + y²

y² = 25-9

y² = 16

y = 4

now finding all other geometric functions of theta:

sin ф = y/z = 4/5

sin ф = -4/5 (sin is negative in the 4th quadrant)

cos ф = x/z = 3/5

cos ф = 3/5 (cos is positive in 4th quadrant)

tan ф = y/x = 4/3

tan ф = -4/3 (tan is negative in 4th quadrant)

cosec ф = z/y = 5/4

cosec ф = -5/4 (cosec is negative in the 4th quadrant)

cot ф = x/y = 3/4

tan ф = -3/4 (tan is negative in 4th quadrant)

can i see the following ?

step-by-step explanation: