# Worksheet: Solving Trigonometric Equations

Q1:

Suppose is a point on a unit circle corresponding to the angle of . Is there another point on the unit circle that represents an angle in the interval and has the same -coordinate as ? If yes, give the angle.

• Ano
• Byes,
• Cyes,
• Dyes,
• Eyes,

Q2:

Consider , a point on a unit circle corresponding to the angle of . Is there another point on the unit circle representing an angle in the interval that has the same -coordinate as ? If yes, give the angle.

• Ayes,
• Byes,
• Cyes,
• Dno
• Eyes,

Q3:

Consider , a point on a unit circle corresponding to the angle of . Is there another point on the unit circle that has the same -coordinate as and represents an angle in the interval ? If yes, give the angle.

• Ayes,
• Byes,
• Cyes,
• Dno
• Eyes,

Q4:

Consider that is a point on a unit circle corresponding to the angle of . Is there another point on the unit circle that has the same -coordinate as and represents an angle in the interval ? If yes, give the angle.

• Ayes,
• Bno
• Cyes,
• Dyes,
• Eyes,

Q5:

Suppose is a point on a unit circle corresponding to the angle of . Is there another point on the unit circle representing an angle in the interval that has the same tangent value? If yes, give the angle.

• Ayes,
• Bno
• Cyes,
• Dyes,
• Eyes,

Q6:

Is there a value of the tangent function that is obtained from ONLY one angle in the interval ? If yes, give the angle.

• Ayes, 0
• Byes,
• Cyes,
• Dno
• Eyes,

Q7:

What is the general solution of ?

• A or where
• B or where
• C or where
• D or where

Q8:

Find all the possible general solutions of .

• A :
• B :
• C :
• D :
• E :

Q9:

What is the general solution of ?

• A or where is an integer.
• B or where is an integer.
• C or where is an integer.
• D or where is an integer.

Q10:

Find all the possible general solutions of .

• A :
• B :
• C :
• D :
• E :

Q11:

What is the general solution of ?

• A or where is an integer.
• B or where is an integer.
• C or where is an integer.
• D or where is an integer.

Q12:

What is the general solution of ?

• A or where
• B or where
• C or where
• D or where

Q13:

Find all the possible general solutions of .

• A :
• B :
• C :
• D :
• E :

Q14:

What is the general solution of ?

• A or where
• B or where
• C or where
• D or where

Q15:

Find the set of values satisfying given .

• A
• B
• C
• D

Q16:

Find the smallest positive angle that satisfies both and .

Q17:

Find the value of given where is the largest angle in the range .

Q18:

Find in degrees given where is the smallest positive angle.

Q19:

Find the set of values satisfying where .

• A
• B
• C
• D
• E

Q20:

Find the value of given where is an acute angle. Give the answer to the nearest minute.

• A
• B
• C
• D

Q21:

Find the value of given where is an acute angle. Give the answer to the nearest minute.

• A
• B
• C
• D

Q22:

Find the value of given where is an acute angle. Give the answer to the nearest minute.

• A
• B
• C
• D

Q23:

Find the value of given where is an acute angle.

Q24:

Find the set of values satisfying where .

• A
• B
• C
• D

Q25:

Find the set of values satisfying where .

• A
• B
• C
• D

Q26:

Find all the possible general solutions of .

• A .
• B .
• C .
• D .
• E .

Q27:

Find all the possible general solutions of