solve sin(3x)cos(6x)-cos(3x)sin(6x)= -0.3 for the smallest positive solution. gi

Question

solve sin(3x)cos(6x)-cos(3x)sin(6x)= -0.3 for the smallest positive solution. give your answer accurate to 2 decimal places

score on last attempt: 0 out of 1 Score in gradebook: iej 0 out of 1 Try another similar question, reattempt last question below, or select another question | Solve sin(3z)cos(6z)-cos(82)sin(6a)--0.3 for the smallest positive solution. x= 582 Preview Give your answer accurate to two decimal places. Get help: Video Points possible: 1 Unlimited attempts. Score on last attempt: 0. Score in gradebook: 0 Post this question to forum Submit When you are done, click here to see a summary of your scores.

Explanation / Answer

sin(3x)cos(6x)-cos(3x)sin(6x)= -0.3

applying sin ( a- b) formula

we can write

- sin ( 6x - 3x ) = -0.3

general solutions are

x = 1/3 [ 2npi + pi - sin^-1 (0.3)]

x = 1/3 [ 2 npi + sin^-1 (0.3)]

plugginh n = 0

x = 1/3 [ pi - sin^-1 (0.3)]

smallest solution is x = 0.95

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.