Home About us Bibliography       Contact Us
   
Sequences and Series

 

Rational Expressions

 

Financial Mathematics

 

Quadratic Functions and Complex Numbers

 

Trigonometric Functions

 

Graphing Trigonometric Functions
   
   
   
 
 

Review of Trigonometric Ratios: Sin, Cos and Tan

 

 

Names: Waleed Shahid                                                                                                                                   

  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


 

 Overview

In this section the students will review the Trigonometric Ratios in Right Triangle. The Trigonometric Ratios in Right Triangles include:

      

  

 

 

 

 

 

 

 

 


 

Students will also review the Pythagorean Theorem which is:

  

 

 

 

 

 

 

 

 


 

The Standard type of questions which a student should expect are for example: Finding a certain angle in a right triangle or finding a length of a side in a Right Triangle. A student might be given different values to deal with when solving a question.

Study Tips,  Methods  and or Advice

 

When solving the Trigonometric Ratios questions follow these steps:

1)      If a diagram is not given then you should make one because it helps u a lot when you are solving the question.

2)      Write down the Data given to you.

3)      Choose the right formula for your givens.

4)      Substitute the given values in the right formula.

 

Tips

·        If u have 2 angles given in the Triangle then you can subtract the sum of those 2 angles from 180 to get the third angle faster.

·        If a diagram is not given then you should draw one since it helps u visualize what the triangle looks like and really helps you.

·        Many students and I my self had have problems with memorizing the little formulas. So you can just memorize these small terms: SOH, CAH & TOA. For example S in SOH represents Sin and O represents opposite and H represents Hypotenuse. The same sort of rule applies for the rest of the terms: A represents Adjacent etc.

 

Sample Questions and complete solutions

 

 

Questions

Complete Solutions

1. Solve the triangle

 

 

 

 

 

 

 

Hypotenuse= 17

Adjacent= 9

Opposite=?

 

2. Find

 

 

 

 

 

Opposite=1.5

Hypotenuse=4

=?

 

3.Find

 

 

 

 

Hypotenuse=4.5

Adjacent=3.5

=?

 

4.Find side

Opposite=10

Adjacent=5

5. Find the hypotenuse of the triangle.

 

 

6. Find the side BC of the Triangle  with side AB 8cm and

 

 

Diagram:

Adjacent=8

=

BC=?

 

7. A ship travels 10 km on a course heading 50º east of north.
How far north and how far east has the ship traveled at this point?

 The ship had traveled

6.43 Km north and

7.66 Km east.

 

Text Box:  The ship had traveled
6.43 Km north and
7.66 Km east.
 

 

 

 

 

Extra Practice Questions and Answers

Extra Practice Questions

Answers

1. Find the length of side B in the following triangle:

 

 

Length of Side B is 10 ft .

 

2. Find the length of side X in the following triangle:

 

 

Length of side X is 253.8 m

 

3. Find the measure of angle x in the following triangle:

The measure of angle x is 28°.

4. In right triangle ABC, hypotenuse AB=15 and . Find leg BC to the nearest tenth.

 

The measure of leg BC to the nearest tenth is 8.3.

5. The base of the right-angled triangle shown is 5 cm in length, and the angle A is 60°. Calculate the altitude BC.

The altitude of BC is 8.7 cm

 

 

Self Reflection

Personal Reflection - Waleed

Sin, Cos, and Tan are really easy to understand and I think I have made them much easier in this review. This is just a basic review from grade 10 and it these concepts are very easy to understand. This course is not as hard as you might expect it to be and in fact it’s not hard at all. The only advice I can give to the future students is that just do your homework and you will do very well in this course. I really like this website because the future Functions and Relations students will appreciate the hard and dedicated work of the former students and this really gives the future students a better understanding what the course is really about and mainly as a guide line to the course.