11.5 Notes (part 2)

11.5 Notes (part 2)

By David Granda

Multiple Select

For what angles is $$\sin\theta=\frac{\sqrt[]{3}}{2}$$  

• $$\frac{\pi}{3}$$  

• $$\frac{\pi}{6}$$  

• $$\frac{2\pi}{3}$$  

• $$\frac{5\pi}{3}$$  

• $$\frac{7\pi}{4}$$  

Multiple Select

For what angles is $$\tan\theta=1$$  

• $$\frac{\pi}{4}$$  

• $$\frac{3\pi}{4}$$  

• $$\frac{2\pi}{3}$$  

• $$\frac{5\pi}{4}$$  

• $$\frac{7\pi}{4}$$  

Multiple Select

For what angles is $$\sin\theta=0$$  

• $$0$$  

• $$\frac{\pi}{2}$$  

• $$\pi$$  

• $$\frac{3\pi}{2}$$  

• $$2\pi$$  

Multiple Choice

What is a good first step to solve this equation?

• Set equal to zero

• Square both sides

• divide both sides by 5

• add 4 to both sides

Multiple Choice

After setting equal to zero, what form does the equation have?

• Quadratic Form

• Linear Form

• Exponential form

• Rational form

Multiple Choice

What seems to be a good next step to take to solve this equation?

• Factor (X-Method)

• Square both sides

• Factor the GCF

Multiple Choice

If factoring with the X-method does not work, what can we try?

• Quadratic formula

• Pythagorean Theorem

• Cry uncontrollably

• Check Tik Tok to see if someone there knows

Multiple Choice

What seems to be a good first step?

• Add 3 and square root both sides

• Divide both sides by 3

• Multiply by the conjugate

Multiple Choice

How do you find $$\cot\ x$$  ?

• $$\frac{\sin x}{\cos x}$$  

• $$\frac{\cos x}{\sin x}$$  

• $$\frac{1}{\cos x}$$  

• $$\frac{1}{\sin x}$$  

Multiple Choice

What ratio will simplify to $$\sqrt[]{3}$$  ?

• $$\frac{\frac{\sqrt[]{3}}{2}}{\frac{1}{2}}$$  

• $$\frac{\frac{1}{2}}{\frac{\sqrt[]{3}}{2}}$$   

• $$\frac{1}{0}$$   

• $$\frac{0}{1}$$   

• $$\frac{\frac{\sqrt[]{2}}{2}}{\frac{\sqrt[]{2}}{2}}$$  

Multiple Choice

How can we simplify the expression?

• Rewrite in terms of Sine and Cosine

• Square both sides

• Make equal to zero

• Mathway or Photomath, maybe?

Multiple Choice

How can I see what assignments I am missing and need to work on?

• Go to student self serve

• Ask the person next to me

• Try to figure it out from the top of my head

• Just assume I did it so I can get on TikTok

Due Assignments:

•11.3-11.4 Practice (turn in together)

•Delta Math: Identify the Trig Graphs + 11.1-11.2 Trig Identities

•TCB Stage 2: 90+= 100%; <90= 70%; NG/Zero= 50%

•Delta Math: 11.5 Trig Equations (Practice)