Unit 6

Unit circle parts

100

What are all the degrees of a unit circle?

360 deg. 270 deg. 180 deg. and 90 deg.

200

What are the x and y values of a unit circle?

(1,0),(0,-1),(-1,0) and (0,1)

300

List where each trigonometric ratio is positive in quadrants

(hint: trigonometric ratio is sin cos and tan)

Q1 all is positive

Q2 sin is positive

Q3 tan is positive

Q4 cos is positive

400

What does it mean if the equation your given doesn't fit within the range of a trigonometric ratio?

It can't be solved

500

What are all the MAIN radians of a unit circle

(Hint: Remember 360,270,?,?)

2pi,3pi/2,pi and pi/2

Matrices

100

Can you Multiply Matrices if they are the same

Yes

200

what is the first step to finding and inverse of a matrix

(You don't have to be specific)

switch a and d and change the signs of c and b

300

Can the matrix 5x1 be multiplied by a matrix of 4x2 

 No

400

find the inverse of this matrix

 3    5

-2    4

2    -2.5

1     1.5

500

what is the result of the formula for finding the product of matrices

Hint:  a₁      b₂            e³₁       f³₁

         c³      d⁴            g⁴₂       h⁴₂

ae+bg    af+bh

ce+dg    cf+dh

SOHCAHTOA

100

Which Quadrant of a unit circle are all ratios positive?

Quadrant 1

200

If sin had to be x < 0 which quadrant(s) could it be in?

Quadrant 3 and 4

300

What are the "opposites" of sine cosine and tangent?

(yes you have to say the full name)

cosecant secant cotangent

400

If sine has to be x < 0 but cotangent has to be x > 0 what quadrant(s) can they go in?

Quadrant 3

500

Remember the angles of _________________

(Hint: They're in world problems)

Elevation and Depression

Conterminal/Reference Angle

100

How do you find conterminal? (for Degree)

subtract degree by 360 and add Degree by 360

200

How do you find reference angle? (for Degree)

Graph the Degree you got from the question and to the nearest x axis subtract value of degree to which ever x- axis was closer

300

Find the Conterminal of 170 Degress

530 and -190

400

Find The reference angle of 115 Degrees

(you don't need a graph for this)

65 Degrees

500

What do you do if the degree you were given was higher than 360 Degrees?

(Hint: If you subtract the value by 360 and get a positive what do you have to do again?)

Subtract the value by 360 than use the value you got and subtract it by 360 AGAIN

Convert Radians to Degrees and Back

100

Convert to Degree

2 pi

360 Degrees

200

Convert to Degree

pi

180 Degrees

300

Convert to Radian

270 Degrees

3pi/2

400

Convert to Degree

29pi/30

174 Degrees

500

Convert to Radian

174 Degrees

(Hint: Bro you just did it :/)

(Hint 2:multiply the numerator by pi first) 

29pi/30