Unit 5 day 6 and 7 - Trig ratios of any angle

Multiple Choice

To convert from degrees to RADIANS

• multiply by

  $$\frac{π}{180°}$$

• multiply by $$\frac{180°}{π}$$

• multiply by $$\frac{π}{\sqrt{2}}$$

• multiply by $$\frac{π}{\sqrt{3}}$$

Multiple Choice

Convert 150⁰ to radians

• $$\frac{5π}{6}$$

• $$\frac{3π}{4}$$

• $$\frac{7π}{6}$$

• $$\frac{2π}{3}$$

• $$\frac{15π}{8}$$

Multiple Choice

Convert π radians to degrees.

• 90⁰
• 180⁰
• 360⁰
• 60⁰

Multiple Choice

To convert from radians to DEGREES

• multiply by

  $$\frac{π}{180°}$$

• multiply by $$\frac{180°}{π}$$

• multiply by $$\frac{π}{\sqrt{2}}$$

• multiply by $$\frac{π}{\sqrt{3}}$$

Multiple Choice

What is the degree of an angle with a radian measure of $$\frac{7}{4}\pi$$  

• $$310\degree$$  

• $$320\degree$$  

• $$315\degree$$  

• $$330\degree$$  

Multiple Choice

What is $$\frac{2\pi}{3}$$   radians in degrees? 

• $$150\degree$$  

• $$120\degree$$  

• $$180\degree$$  

• $$30\degree$$  

Multiple Choice

What is $$\frac{11\pi}{6}$$   radians in degrees? 

• 30

• 330

• 360

•  300

​Unit 5 Homework 5

Key Takeaways:

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Do examples 1-3​

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Multiple Choice

What is the length of y in this 45-45-90 triangle?

• 8√2
• 4√2
• 4
• 8

Multiple Choice

Find the value of x.

• 2

• $$4\sqrt{3}$$

• 4

• $$2\sqrt{3}$$

Multiple Choice

What is the length of y in this picture?

• 45
• 5√2
• 90
• 5

Multiple Choice

What is the length of y in this 45-45-90 triangle?

• 8√2
• 4√2
• 4
• 8

​Big idea!

​How do we find hypotenuse?

Multiple Choice

The reciprocal of sine is

• cosine or cos

• secant or sec

• cosecant or csc

• arcsin or $$\sin^{-1}$$

Multiple Choice

The reciprocal of tangent is

• secant or sec

• cosecant or csc

• cotangent or cot

• arctan or $$\tan^{-1}$$

Multiple Choice

If $$\cos60\degree\ =\ \frac{1}{2}$$  , then  $$\sec60\degree$$  =

• $$\frac{1}{2}$$  

• $$2$$  

• $$-\frac{1}{2}$$  

• $$-2$$  

Multiple Choice

If  $$\sin\theta=\frac{4}{5}$$  , then  $$\csc\theta=$$  

• $$\frac{4}{5}$$  

• $$-\frac{4}{5}$$  

• $$-\frac{5}{4}$$  

• $$\frac{5}{4}$$  

Match

Match the following

• $$\sin\theta=$$  

• $$\cos\theta=$$  

• $$\tan\theta=$$

• $$\csc\theta$$  

• $$\sec\theta$$  

2sqrt(5)/5

sqrt(5)/5

1/2

sqrt(5)

sqrt(5)/2

• 2sqrt(5)/5

• sqrt(5)/5

• 1/2

• sqrt(5)

• sqrt(5)/2

Multiple Choice

cos 90

• 0
• 1
• -1
• undefined

Multiple Choice

csc 60

• 2
• -2
• 2√3/3
• -2√3/3

Multiple Choice

What is the radius of a unit circle?

• 1
• 2
• 1/2
• 0

Multiple Choice

cos (π/4)

• √3/2
• √2/2
• 1/2
• 1

Multiple Choice

sinθ is positive in

• the 1st and 2nd quadrants
• the 1st and 3rd quadrants
• the 1st and 4th quadrants
• the 2nd and 3rd quadrants

Multiple Choice

cosθ is positive in

• the 1st and 2nd quadrants
• the 1st and 3rd quadrants
• the 1st and 4th quadrants
• the 2nd and 3rd quadrants

Multiple Choice

What is the exact coordinates of  3π/4 on the unit circle?

• (−√2∕2, √2∕2)
• (−√2∕2, −√2∕2)
• (−√3∕2, −√2∕2)
• (√2∕2, −√2∕2)