Six Trigonometric Ratios

Give the ratio of tan  $\theta$  .

•  $\frac{adjacent\ }{opposite}$  

•  $\frac{adjacent}{hypotenuse}$  

•  $\frac{opposite}{adjacent}$  

•  $\frac{opposite}{hypotenuse}$  

Give the ratio of cos $\theta$  .

•  $\frac{adjacent}{hypotenuse}$  

•  $\frac{adjacent}{opposite}$  

•  $\frac{opposite}{adjacent}$  

•  $\frac{opposite}{hypotenuse}$  

Q: What is the correct ratio?

• $\frac{6}{10}$

• $\frac{8}{10}$

• $\frac{6}{8}$

• $\frac{8}{6}$

Q: What is the length of the hypotenuse side?

• 8

• 17

• 15

• 7

Who is the father of Trigonometry?

• Archimedes

• Euclid

• Al-Khwarizmi

• Hipparchus

What is Trigonometry?

• is a branch of mathematics dealing with symbols and the rules for manipulating those symbols

• is a branch of mathematics that studies the sizes, shapes, positions angles and dimensions of things

• is the branch of mathematics that deals with the study of numbers using various operations on them

• is a branch of mathematics that studies relationships between side lengths and angles of triangles

Q: What is the correct ratio of tan A?

• $\frac{20}{12}$

• $\frac{12}{16}$

• $\frac{12}{20}$

• $\frac{16}{12}$

What is the formula for secant?

• sec= $\frac{adjacent}{opposite}$

• sec= $\frac{opposite}{hypotenuse}$

• sec= $\frac{hypotenuse}{opposite}$

• sec= $\frac{hypotenuse}{adjacent}$

What is the formula for cosecant?

• csc= $\frac{adjacent}{opposite}$

• csc= $\frac{opposite}{hypotenuse}$

• csc= $\frac{hypotenuse}{opposite}$

• csc= $\frac{hypotenuse}{adjacent}$

Identify the mnemonic used with trigonometric ratios.

• SAH COA TOH

• SHO CAH THA

• SOA CAH TOA

• SOH CAH TOA