# Lesson Worksheet: Solving Trigonometric Equations with the Double-Angle Identity Mathematics • 10th Grade

In this worksheet, we will practice solving trigonometric equations using the double-angle identity.

Q1:

Find the general solution to the equation .

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

Q2:

If and , find the value of .

Q3:

Find all the solutions of the equation for . Write the answer approximated to the nearest whole angle in degrees.

• A
• B
• C
• D
• E

Q4:

Given that and , determine the possible values of .

• A
• B
• C
• D

Q5:

Find the set of possible solutions of given .

• A
• B
• C
• D

Q6:

Find the solution set for given where .

• A
• B
• C
• D

Q7:

Solve , where .

• A
• B
• C
• D
• E

Q8:

By using the half angle formula , or otherwise, solve the equation , where .

• A
• B
• C
• D
• E

Q9:

Find the set of solutions in the range for the equation .

• A
• B
• C
• D
• E

Q10:

Find the set of possible values of which satisfy where .

• A
• B
• C
• D

This lesson includes 20 additional questions and 160 additional question variations for subscribers.