# Worksheet: Simple Trigonometric Equations

In this worksheet, we will practice solving simple trigonometric equations.

Q1:

What is the general solution of ?

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

Q2:

Find the solution set of , where .

• A
• B
• C
• D

Q3:

Find the solution set of , where .

• A,
• B,
• C,
• D,

Q4:

Find the set of values satisfying where .

• A
• B
• C
• D

Q5:

Find the general solution to the equation .

• A, where
• B, where
• C, where
• D, where

Q6:

Find the set of values satisfying where .

• A
• B
• C
• D
• E

Q7:

Find in degrees given where is the smallest positive angle.

Q8:

Find the set of values satisfying where .

• A
• B
• C
• D

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 the set of values satisfying where . Give the answers to the nearest second.

• A
• B
• C
• D
• E

Q11:

Find the values of that satisfy where giving the answer to the nearest minute.

• A,
• B,
• C,
• D,

Q12:

Find all the possible general solutions of .

• A, , ,
• B, , ,
• C,
• D, , ,
• E, , ,

Q13:

Find the set of values satisfying , where .

• A
• B
• C
• D
• E

Q14:

Find the general solution to the equation .

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

Q15:

Find the set of values satisfying given .

• A
• B
• C
• D
• E

Q16:

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

• Ayes,
• Byes,
• Cno
• Dyes, 0
• Eyes,

Q17:

Find the values of that satisfy given . Give the answer to the nearest minute.

• A
• B
• C
• D

Q18:

Find all the possible values of given where . Give the answer to the nearest second.

• A or
• B or
• C or
• D or

Q19:

Find all the possible values of given where . Give the answer to the nearest second.

• A or
• B or
• C or
• D or

Q20:

Find the set of values satisfying , where .

• A
• B
• C
• D
• E

Q21:

Find the general solution to the equation .

• A, , where
• B, , where
• C, , where
• D, , where

Q22:

Find the possible values of in the expression where , given where . Give the answer to the nearest second.

• A or
• B or
• C or
• D or

Q23:

Find the set of values satisfying , where .

• A
• B
• C
• D
• E

Q24:

is a triangle where , and the area is 83.5775 cm. Find all the possible values for giving the answer to the nearest degree.

• A,
• B
• C,
• D

Q25:

Find in terms of given where .

• A
• B
• C
• D