CF9 and CF 10 14H Trigonometric Equations

CF9 and CF 10 14H Trigonometric Equations

by Cecilia VUONG

​remember graphing?

• ​we always ask for x intercepts?

• ​what skills do we need for that?

• ​we need to solve for x...

• ​well today we are doing the same thing.. but with sine and stuff... so it's going to be a lot of little steps, think in terms of fractions and remember, all you are doing is solving and you have done that before! you got this!

​it's almost end of term

• ​so I'm pretty exhausted.

• this is going to be two videos and the questions at the end of each video.

• get ready to copy and pause as you need!

Multiple Choice

Solve sinθ = ½ on θ∈[0, 2π)

• θ = π / 6,  7π / 6

• θ = π / 6,  5π / 6

• θ = 5π / 6,  7π / 6

• θ = 7π / 6,  11π / 6

Multiple Choice

$$Solve\ \sin x=\frac{1}{2}\ for\ 0\le x\le360\degree$$  

• 30, 330

• 30, 150

• 60, 120

• 60, 300

Multiple Choice

$$Solve\cos⁡x=-\frac{1}{2}\ for\ 0≤x≤360°$$  

• 120, 240

• 120, 60

• 60, 300

• 240, 300

Multiple Choice

$$Solve\sin x=\frac{\sqrt{3}}{2}\ ​for\ 0≤x≤360°$$  

• 30, 150

• 60, 300

• 30, 330

• 60, 120

Multiple Choice

$$Solve\cos⁡x=-\frac{1}{\sqrt{2}}\ for\ 0≤x≤360°$$  

• 135, 45

• 150, 210

• 135, 225

• 30, 330

Multiple Choice

Solve cosθ = - √(3)/2   on θ∈[0, 2π)

• θ = π /3, 2π /3

• θ = 2π /3, 4π /3

• θ = π /6, 5π /6

• θ = 5π /6, 7π /6

​take a break and continue with the next video in 5 minutes..

• ​go for a walk? chill with a pet?

• ​see you soon!

Multiple Choice

$$Solve\sin2⁡x=\frac{\sqrt{3}}{2}\ for\ 0≤x≤360°$$  

• 30, 150

• 30, 60, 210, 240

• 60, 120

• 15, 75, 195, 255

Multiple Choice

$$Solve\ \sin3⁡x=-\frac{1}{\sqrt{2}}\ for\ 0≤x≤360°$$  

• 225, 315

• 75, 105, 195, 225, 315, 345

• 45, 75, 165, 195, 285, 315

• 135, 225

Multiple Choice

$$Solve\cos⁡3x=0\ for\ 0≤x≤360°$$  

• 0, 60, 120, 180, 240, 300

• 30, 90, 120, 150, 270, 330

• 0, 30, 150, 210, 240, 330

• 30, 90, 150, 210, 270, 330

Multiple Choice

$$Solve\ 2\sin x-1=0\ for\ 0≤x≤360°$$  

• 30, 150

• 60, 120

• 45, 225

• 90, 270

Multiple Choice

$$Solve\sqrt{2}\cos⁡x-1=0\ for\ 0≤x≤360°$$  

• 45, 225

• 45, 135

• 135, 225

• 45, 315

Multiple Choice

Solve $$\sin\theta=-0.32$$  for  $$0\le\theta\le2\pi$$  giving your answers to 3 significant figures

• $$\theta=0.325,3.47$$  

• $$\theta=3.47,5.96$$  

• $$\theta=2.81,\ 5.96$$  

• $$\theta=2.81,3.47$$  

Multiple Choice

Solve $$\tan\ \frac{\theta}{2}=2.1$$  for  $$0\le\theta\le2\pi$$  giving your answers to 3 significant figures

• $$\theta=2.25$$  

• $$\theta=2.25,4.27$$  

• $$\theta=0.563,2.13$$  

• $$\theta=0.563$$  

Multiple Choice

Solve the equation on the interval $$0\le x<2\pi$$  

$$2\sin x\ =\ \sqrt{2}$$  

• $$\frac{\pi}{4}$$  

• $$\frac{\pi}{4},\frac{3\pi}{4}$$  

• $$\frac{5\pi}{4},\frac{7\pi}{4}$$  

• $$\frac{\pi}{6}$$  

Multiple Choice

Solve the trigonometric equation:

$$2\cos\left(x\right)+\sqrt{2}=0$$  

• $$\frac{3\pi}{4},\frac{5\pi}{4}$$  

• $$\frac{\pi}{4},\frac{3\pi}{4}$$  

• $$\frac{5\pi}{4},\frac{7\pi}{4}$$  

• $$\frac{\pi}{2},\ \frac{3\pi}{2}$$  

Poll

what do you prefer?

• Video links like back then and then a quizizz seperately

• video and quizizz all in one like this week

Open Ended

Please tell me more about how you feel about Methods this term, it was tough, I would like to know more so I can make next term as easy as possible for you. Enjoy your holidays!

​no more work!

• ​yay you did it!

• ​happy holidays!

• ​and here is the annoying exercise list of questions

• ​14H:

• ​Questions: 1ac, 2ace, 3ace, 4, 5, 6, 7acd, 8ad

• ​send me an email if you have questions