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Choose the Correct Trigonometric Ratio

In this worksheet, students select the correct trigonometric ratio to find the given angle.

'Choose the Correct Trigonometric Ratio' worksheet

Key stage:  KS 3

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Solve Right-Angled Triangle Problems

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

In a right-angled triangle, the sides and the angles are connected by three trigonometric ratios.

 

 

The three trig ratios are:

 

 

A quick way to remember this is to memorise the word

SOHCAHTOA

 

Example

Which trigonometric ratio is used to calculate the angle θº ?

 

 

Answer

Label the sides adjacent, opposite and hypotenuse in relation to the angle θº.

The given sides are the adjacent and the hypotenuse.

 

SOHCAHTOA

 

The correct trig ratio is COS.

 

Which trigonometric ratio is used to calculate the angle θº ?

 

 

sin

cos

tan

Which trigonometric ratio is used to calculate the angle θº ?

 

 

sin

cos

tan

Which trigonometric ratio is used to calculate the angle θº ?

 

 

sin

cos

tan

Which trigonometric ratio is used to calculate the angle θº ?

 

 

sin

cos

tan

Which trigonometric ratio is used to calculate the angle θº ?

 

 

sin

cos

tan

Which trigonometric ratio is used to calculate the angle θº ?

 

 

sin

cos

tan

Which trigonometric ratio is used to calculate the angle θº ?

 

 

sin

cos

tan

Which trigonometric ratio is used to calculate the angle θº ?

 

 

sin

cos

tan

Which trigonometric ratio is used to calculate the angle θº ?

 

 

sin

cos

tan

Which trigonometric ratio is used to calculate the angle θº ?

 

 

sin

cos

tan

  • Question 1

Which trigonometric ratio is used to calculate the angle θº ?

 

 

CORRECT ANSWER
sin
  • Question 2

Which trigonometric ratio is used to calculate the angle θº ?

 

 

CORRECT ANSWER
tan
  • Question 3

Which trigonometric ratio is used to calculate the angle θº ?

 

 

CORRECT ANSWER
tan
  • Question 4

Which trigonometric ratio is used to calculate the angle θº ?

 

 

CORRECT ANSWER
sin
  • Question 5

Which trigonometric ratio is used to calculate the angle θº ?

 

 

CORRECT ANSWER
cos
  • Question 6

Which trigonometric ratio is used to calculate the angle θº ?

 

 

CORRECT ANSWER
tan
  • Question 7

Which trigonometric ratio is used to calculate the angle θº ?

 

 

CORRECT ANSWER
sin
  • Question 8

Which trigonometric ratio is used to calculate the angle θº ?

 

 

CORRECT ANSWER
tan
  • Question 9

Which trigonometric ratio is used to calculate the angle θº ?

 

 

CORRECT ANSWER
sin
  • Question 10

Which trigonometric ratio is used to calculate the angle θº ?

 

 

CORRECT ANSWER
cos
---- OR ----

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