Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

k8lyn911

  • 2 years ago

6 sin θ − 3 csc θ = 0 Solve the equation for θ if 0° ≤ θ < 360°. (Enter your answers as a comma-separated list.) *Okay, so I know csc θ = 1/sin θ 6 sin θ - 3 csc θ = 0 6 sin θ - (3/sin θ) = 0 3 sin θ (2 - ? ) = 0 That's where I got stuck. How do I simplify it further to find the answer?

  • This Question is Closed
  1. eliassaab
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[ 6 \sin (\theta )-3 \csc (\theta )=6 \sin (\theta )-\frac{3}{\sin (\theta )}=\frac{6 \sin ^2(\theta )-3}{\sin (\theta )}=0 \]

  2. eliassaab
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[ \left\{\sin (\theta )= -\frac{1}{\sqrt{2}}\right\},\left\{\sin (\theta )= \frac{1}{\sqrt{2}}\right\} \]

  3. eliassaab
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[ \theta=\frac \pi 4\\ \theta =\pi -\frac \pi 4=\frac { 3 \pi}4\\ \theta =\frac{5 \pi}4\\ \theta =\frac{7 \pi}4\\ \]

  4. k8lyn911
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you! :)

  5. eliassaab
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    YW

  6. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy