Honors Pre-Calculus Name:________________________ Homework #43 – Trig Equations 2 Pd:_____Date_________________ Solve each equation on the interval 0 ≤ θ ≤ 2π. 1. 2𝑠𝑖𝑛!  𝜃 − sin𝜃 − 1 = 0 2. cot𝜃 + 1 csc𝜃 − !

!= 0

3. 𝑠𝑖𝑛!  𝜃 = 6 cos𝜃 + 1 4. cos 2𝜃 = 2− 2𝑠𝑖𝑛!  𝜃 5. tan𝜃 = 2 sin𝜃

6. tan𝜃 = cot𝜃 7. sin 2𝜃 + sin 4𝜃 = 0 8. sin 4𝜃 − sin 6𝜃 = 0 9. 𝑡𝑎𝑛!  𝜃 = !

!sec𝜃

10. cos 2𝜃 + 5 cos𝜃 + 3 = 0 11. tan 2𝜃 + 2 cos𝜃 = 0 Solve using a graphing utility. Express the solutions to two decimal place accuracy. 12. 𝑥 = 𝑒! 13. 𝑥 + 5 cos 𝑥 = 0 14. 19𝑥 + 8 cos 𝑥 = 2

Honors Pre-Calculus Name:________________________ Homework #43 – Trig Equations 2 Pd:_____Date_________________ Solve each equation on the interval 0 ≤ θ ≤ 2π. 1. 2𝑠𝑖𝑛!  𝜃 − sin𝜃 − 1 = 0 2. cot𝜃 + 1 csc𝜃 − !

!= 0

3. 𝑠𝑖𝑛!  𝜃 = 6 cos𝜃 + 1 4. cos 2𝜃 = 2− 2𝑠𝑖𝑛!  𝜃 5. tan𝜃 = 2 sin𝜃

6. tan𝜃 = cot𝜃 7. sin 2𝜃 + sin 4𝜃 = 0 8. sin 4𝜃 − sin 6𝜃 = 0 9. 𝑡𝑎𝑛!  𝜃 = !

!sec𝜃

10. cos 2𝜃 + 5 cos𝜃 + 3 = 0 11. tan 2𝜃 + 2 cos𝜃 = 0 Solve using a graphing utility. Express the solutions to two decimal place accuracy. 12. 𝑥 = 𝑒! 13. 𝑥 + 5 cos 𝑥 = 0 14. 19𝑥 + 8 cos 𝑥 = 2