HPC Section 5.4 Sum and Difference Formulas Day 3

HPC Section 5.4 Sum and Difference Formulas Day 3

​

Multiple Choice

$$.$$  Solve:

$$\sin^2x-\sin x=2$$  

• $$\frac{\pi}{2}$$  

• $$\frac{3\pi}{2}$$  

• $$\frac{5\pi}{4}$$  

• $$\frac{7\pi}{4}$$  

• $$\pi$$  

Multiple Select

Which of the following would you use to set up the solution?
$$\cos\left(\arcsin3x+\ \arctan2x\right)$$  

• sin u = 3x
  

• csc u = 3x
  

• tan v = 2x
  

• cot v = 2x
  

Multiple Choice

$$Cos\left(x\ +\ 3\pi\right)$$  

Evaluate:

• -sin x
  

• - cos x
  

• tan x
  

• -cos x - sin x
  

• -cos x + sin x
  

Poll

Verify:

$$\sin\left(x-y\right)\sin\left(x+y\right)\ =\ \cos^2y-\cos^2x$$  

• Got it

• Kinda got it

• Didn't get it

​

Multiple Choice

Solve for x: $$\sin\left(x-\frac{\pi}{3}\right)\ +\ \sin\left(x+\frac{\pi}{3}\right)=\ 1$$  

• $$\frac{\pi}{2}$$  

• $$\pi$$  

• $$\frac{\pi}{4}$$  

• $$\frac{3\pi}{2}$$  

Homework

Page 381 - 383

#10, 32, 39, 50, 64, 73, 77, 81, 83, 91, 92