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### Proving trigo identities Part IV

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### Proving trigo identities Part III

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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

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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

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Question 1

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

Question 2

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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

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### Proving trigo identities Part I

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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?

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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

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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

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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

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Factorization to obtain basic type

Question 1

Use of idenity followed by factorization

Question 2

Question 3

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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

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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

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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