Identify Trigonometric Ratios

Which one is the easy way to remember trigonometric ratios?

• Sah Coh Toa
• Soh Cah Toa
• Soh Cah Tao
• Soh Ceh Toa

Answer explanation

The legend of an Indian chief named SohCahToa (read that: soak-uh-toe-uh).

Many years ago, a tribe of American Indians lived along the Illinois River, where they hunted and fished and did what was necessary to live in peace. One young brave was trying to learn to use his bow and arrows effectively, and he was having all sorts of trouble.

Out of frustration, he kicked what he thought was something soft, but it was a rock. His toe turned blue and throbbed all day and night. He tried wrapping it, rubbing it, and ignoring it, but nothing gave him any relief. His mother, a wise squaw, finally had enough of his complaining and said, “Go down to the river, now, and Soh Cah Toa!”

The young brave went to the river, put his toe in the cool water, and got relief. He never did get proficient with the bow and arrow, and he kept kicking things in frustration.

Pretty soon, he was known as SohCahToa.

Which is the correct ratio for sine?

• $\frac{adjacent\ }{hypotenuse}$

• $\frac{opposite\ }{hypotenuse}$

• $\frac{adjacent\ }{opposite\ }$

• $\frac{opposite\ }{adjacent\ }$

Answer explanation

Which is the correct ratio for cosine?

• $\frac{adjacent\ }{hypotenuse}$

• $\frac{opposite\ }{hypotenuse}$

• $\frac{adjacent\ }{opposite\ }$

• $\frac{opposite\ }{adjacent\ }$

Answer explanation

Which is the correct ratio for tangent?

• $\frac{adjacent\ }{hypotenuse}$

• $\frac{opposite\ }{hypotenuse}$

• $\frac{adjacent\ }{opposite\ }$

• $\frac{opposite\ }{adjacent\ }$

Answer explanation

What is the correct ratio?

• 27/36

• 27/45

• 45/36

• 45/27

Answer explanation

SOH CAH TOA

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

What is the correct ratio?

• 18/30

• 24/30

• 18/24

• 24/18

Answer explanation

SOH CAH TOA

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

What is the correct ratio?

• 14/48

• 48/50

• 14/50

• 48/14

Answer explanation

SOH CAH TOA

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

What is the correct ratio?

• 7/24

• 24/7

• 7/25

• 24/25

Answer explanation

SOH CAH TOA

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

What is the correct ratio?

• 9/41

• 40/41

• 9/40

• 40/9

Answer explanation

SOH CAH TOA

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

• PR

• QR

• PQ