• Best of luck to the class of 2024 for their HSC exams. You got this!
    Let us know your thoughts on the HSC exams here
  • YOU can help the next generation of students in the community!
    Share your trial papers and notes on our Notes & Resources page
MedVision ad

Where can I find this Q? (1 Viewer)

rapport1

New Member
Joined
May 16, 2024
Messages
13
Gender
Female
HSC
2024
Screenshot 2024-05-25 at 5.48.05 PM.png

Or if it can't be found, could someone pls solve it?
 

KloppsAndRobbers

Active Member
Joined
Oct 17, 2023
Messages
109
Gender
Male
HSC
2024
View attachment 43266

Or if it can't be found, could someone pls solve it?
sin(3θ) = 2sinθ
sin(2θ + θ) = 2sinθ
sin2θcosθ + cos2θsinθ = 2sinθ
(sinθcosθ + cosθsinθ)cosθ + sinθ(1-2sin^2θ) = 2sinθ
sinθcos^2θ + sinθcos^2θ + sinθ - 2sin^3θ = 2sinθ
sinθ(1-sin^2θ) + sinθ(1-sin^2θ) + sinθ - 2sin^3θ = 2sinθ
sinθ - sin^3θ + sinθ - sin^3θ + sinθ - 2sin^3θ = 2sinθ
3sinθ - 4sin^3θ = 2sinθ
4sin^3θ - sinθ = 0
sinθ(4sin^2θ - 1) = 0

sinθ = 0.
θ = 0, π, 2π.

4sin^2θ = 1
sin^2θ = 1/4
sinθ = ±1/2
θ = π/6, 5π/6, 7π/6, 11π/6

Therefore, θ = 0, π/6, 5π/6, π, 7π/6, 11π/6, 2π.
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top