Solving trigonometric eqaetions

​Steps to solve trigonometric eqaution (find the solution : find the angle)

​1- Write the eqaution =0

2-If the eqaution have one trigonometric you can using calculator.

Example: 4sinx= 2sinx+√2​

​

Note that :

Whatch out when you substitute the answers your calculator system.

​

Multiple Choice

• x=π/3+nπ, n is integer.

• x=π/4+nπ, n is integer.

• x=π/6+nπ, n is integer.

• x=π/2+nπ, n is integer.

Multiple Choice

• x=π/2+2nπ and x=3π/2+2nπ, n is integer.

• x=π/3+2nπ and x=2π/3+2nπ, n is integer.

• x=π/4+2nπ and x=3π/4+2nπ, n is integer.

• No solutions

​Steps to solve trigonometric eqaution (find the solution : find the angle)

​ 1-Write the eqaution =0

2-If the eqaution have one trigonometric but, it is square trigonometric

​Example: 3cot²x +4=7

3- Write the eqaution =0​​

Note that :

1-Whatch out when you substitute the answers your calculator system.

​

2- when you write cot²x​ = (cotx)²

​in the calculator.

Multiple Choice

• No solutions

• x=4π/3+2nπ,5π/3+2nπ, n is integer.

• x=π/3+2nπ,2π/3+2nπ, n is integer.

• x=π/3+2nπ,2π/3+2nπ,4π/3+2nπ,5π/3+2nπ, n is integer.

Multiple Choice

• x=3π/4+nπ, n is integer.

• x=π/4+nπ,3π/4+nπ, n is integer.

• x=π/4+nπ, n is integer.

• No solutions

​Steps to solve trigonometric eqaution (find the solution : find the angle)

​1- Write the eqaution =0

2-If the eqaution have tow different trigonometric .

​Example: 3ccos x sin x=3 cos x

Note that :

Whatch out when you substitute the answers your calculator system.

Multiple Choice

• No solutions

• x=π/2,3π/2,π/4,3π/4.

• x=π/2,3π/2.

• x=π/4,3π/4.

Multiple Choice

• x=π/2,3π/2.

• No slution

• x=3π/2.

• x=π/2.

Multiple Choice

• No slution

• are x=π/4,7π/4,2π/3,4π/3.

• are x=π/4,7π/4

• are x=2π/3,4π/3.

Open Ended

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