Honors Pre-Calculus Name: Solve each equation on the interval 0...
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Honors Pre-Calculus Name:________________________ Homework #43 – Trig Equations 2 Pd:_____Date_________________ Solve each equation on the interval 0 ≤ θ ≤ 2π. 1. 2 ! − sin − 1 = 0 2. cot + 1 csc − ! ! = 0 3. ! = 6 cos + 1 4. cos 2 = 2 − 2 ! 5. tan = 2 sin 6. tan = cot 7. sin 2 + sin 4 = 0 8. sin 4 − sin 6 = 0 9. ! = ! ! sec 10. cos 2 + 5 cos + 3 = 0 11. tan 2 + 2 cos = 0 Solve using a graphing utility. Express the solutions to two decimal place accuracy. 12. = ! 13. + 5 cos = 0 14. 19 + 8 cos = 2
Transcript of Honors Pre-Calculus Name: Solve each equation on the interval 0...
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
