Posts

Showing posts from February, 2010

Trigo Master Post

Proving trigo identities Part IV

Image

Proving trigo identities Part III

Image
This question involves the use of rationalization to prove trigo identites

Rationalization is a commonly used technique in surds. Click here to check out how rationalization is used in surds.

Question 1






















Whats Next?
Click here for Proving trigo identities Part IV
Click here for Contents Page

Proving trigo identities Part II

Image
Question 1

























My friend came up with another way of proving the above identity





















Question 2
























What's Next?
Click here for Proving trigo identities Part III
Click here for Contents Page

Proving trigo identities Part I

Image
Strategy
Choose the more complicated side to start
Keep in mind what you are trying to prove

Question 1
Show that:


Solution: 








Question 2
Show that



The more complicated side is LHS





What's Next?
Click here for Proving trigo identities Part II
Click here for Contents Page

Trigo Equations Part IV

Image
Equations that contain only sin x and cos x Strategy: Divide by cos x  to obtain tan x



















This type of equation has to be solved using the R formula.

What's Next ?
Click here to learn how to trigo equations using the R formula
Click here to learn how to prove trigo identities
Click here for Contents Page

Trigo Equations Part III

Image
Factorization to obtain basic type





Question 1




















Use of idenity followed by factorization




Question 2



















Question 3




























What's Next?
Click here for Trigo Equations Part IV
Click here for Contents Page

R formula Part II

Image
ABCD is a quadrilateral where AB = 2 cm and BC = 4cm. Angles BAD and BCD each equals to θ

a) Express the length of AD in terms of θ
b) Determine the maximum length of AD and the corresponding value of θ
c) Find the value of θ for which AD= 3cm


Worked solutions
a)

















b)




















c)

Given AD = 3 cm











What's Next?
Click here for Contents Page