Trigonometric Ratios

What leg is considered the hypotenuse?

• any side

• the side opposite the smallest angle

• the side opposite the right angle

• the side opposite the shortest leg

Answer explanation

The hypotenuse, which is the side directly across from the right angle, is always c.

La hipotenusa, que es el lado directamente opuesto al ángulo recto, es siempre c.

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

What is an easy way to remember trigonometric ratios?

• SAH COH TAO

• SOH CAH TOA

• SAH COH TOA

• SOH CAH TOH

Answer explanation

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

Which is the correct ratio for sine?

• $\frac{adjacent\ }{hypotenuse}$

• $\frac{opposite\ }{hypotenuse}$

• $\frac{adjacent\ }{opposite\ }$

• $\frac{opposite\ }{adjacent\ }$

Answer explanation

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Which is the correct ratio for cosine?

• $\frac{adjacent\ }{hypotenuse}$

• $\frac{opposite\ }{hypotenuse}$

• $\frac{adjacent\ }{opposite\ }$

• $\frac{opposite\ }{adjacent\ }$

Answer explanation

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

Which is the correct ratio for tangent?

• $\frac{adjacent\ }{hypotenuse}$

• $\frac{opposite\ }{hypotenuse}$

• $\frac{adjacent\ }{opposite\ }$

• $\frac{opposite\ }{adjacent\ }$

Answer explanation

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

What is the correct ratio?

• 27/36

• 27/45

• 45/36

• 45/27

Answer explanation

SOH CAH TOA

$\tan C=\frac{opposite}{adjacent}=\frac{27}{36}$

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

What is the correct ratio?

• 18/30

• 24/30

• 18/24

• 24/18

Answer explanation

SOH CAH TOA

$\cos Z=\frac{adjacent}{hypotenuse}=\frac{24}{30}$

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

What is the correct ratio?

• 14/48

• 48/50

• 14/50

• 48/14

Answer explanation

SOH CAH TOA

$\sin C=\frac{opposite}{hypotenuse}=\frac{14}{50}$

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the correct ratio?

• 7/24

• 24/7

• 7/25

• 24/25

Answer explanation

SOH CAH TOA

$\tan Z=\frac{opposite}{adjacent}=\frac{7}{24}$

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

What is the correct ratio?

• 9/41

• 40/41

• 9/40

• 40/9

Answer explanation

SOH CAH TOA

$\cos C=\frac{adjacent}{hypotenuse}=\frac{40}{41}$

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11