Gr 10 Equations Review Flashcards

1
Q

What is the equation for SOH

A

sin= opp/hyp

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2
Q

What is the equation for CAH

A

cos= adj/hyp

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3
Q

What’s the equation for TOA

A

tan= opp/adj

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4
Q

What’s the equation for similar triangles?

A

AB AC BC
— = — = —
DE DF EF

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5
Q

What’s the equation for sin law?

A

a b c
______ = ______= ______
Sin A Sin B Sin C

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6
Q

What’s the equation for cosine law pt 1 side lengths

A

2 2 2
b = a + c - 2ac(cos B)

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7
Q

What’s the equation for cosine law pt 2 angles

A

2 2 2
b = a + c - 2ac(cos B)
(move all numbers to left side of equal sign to isolate cos B)

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8
Q

What do you get in standard form?

A
  • y-int
  • step 1, 3, 5
  • direction of opening
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9
Q

What do you get from vertex form?

A
  • vertex (h,k)
  • aos (x=h)
  • step 1, 3, 5
  • direction of opening
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10
Q

What do you get from factored form?

A
  • x-ints/roots (r, s)
  • step 1, 3, 5
  • direction of opening
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11
Q

What is standard form?

A

2
y= ax + bx + c

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12
Q

What is vertex form?

A

2
y= a (x-h) + k

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13
Q

What is factored form?

A

y= a (x-r) (x-s)

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14
Q

What is the equation for the shortcut from standard to vertex form?

A

-b
x = ——
2a

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15
Q

What is the equation of a line?

A

y = mx + b

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16
Q

What’s the equation for the midpoint of a line?

A

X1 + X2 Y1 + Y2
M = ( ———— ———— )
2 , 2

17
Q

What’s the equation for the slope of a line?

A

Y2 - Y1
m = ————
X2 - X1

18
Q

What’s the equation for a circle centered at the origin?

A

2 2 2
x + y = r

19
Q

What’s the equation for a circle not centered at the origin?

A

2 2 2
( x - h ) + ( y - k ) = r

20
Q

What’s the equation for the length of a line?

A

____________________
L = / 2 2
\/ (X2 - X1) + (Y2 - Y1)

21
Q

What’s the equation for quadratic formula?

A

___________
+ / 2
X = - b - \/ b - 4ac
——————————
2a

22
Q

When do you use sin law?

A

If it isn’t a 90* angle and there is a complete side / angle pair

23
Q

When do you use soh cah toa?

A

When it is a 90* angle

24
Q

When do you use cosine law pt. 1 side lengths

A

When you have two sides and an angle

25
Q

When do you use cosine law pt. 2 angles

A

when you have three sides of the triangle

26
Q

How many roots if it is
2
b - 4ac > 0

A

2 real roots

27
Q

How many roots if it is
2
b - 4ac = 0

A

2 equal roots

28
Q

How many roots if it is
2
b - 4ac < 0

A

0 real roots