# Lesson Worksheet: Solving a Trigonometric Equation Mathematics

In this worksheet, we will practice solving a trigonometric equation using factoring or squaring.

Q1:

Find the set of values satisfying given that .

• A
• B
• C
• D
• E

Q2:

If , how many solutions are there of the equation ?

Q3:

How many solutions are there of the equation if ?

Q4:

Fill in the blank: If , then the number of solutions of the equation is .

Q5:

Find the set of values satisfying where .

• A
• B
• C
• D

Q6:

Find the set of values satisfying given .

• A
• B
• C
• D

Q7:

Find the set of values satisfying where . Give the answer to the nearest minute.

• A
• B
• C
• D

Q8:

By first squaring both sides, or otherwise, solve the equation , where . Be careful to remove any extraneous solutions. Give your answers to two decimal places.

• A
• B
• C
• D
• E

Q9:

Find all the possible general solutions of .

• A.
• B.
• C.
• D.
• E.

Q10:

Find all the possible solutions, that is, the general solution, of the equation .

• A (where )
• B, (where )
• C, (where )
• D, (where )
• E, (where )

This lesson includes 19 additional questions and 187 additional question variations for subscribers.

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