Trig Flashcards

1
Q

CSC

A

Cscx = 1/sinx

sinx cannot be 0

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2
Q

Sec

A

Secx = 1/cosx

cosx cannot be 0

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3
Q

Cot

A

Cotx = 1/tanx

tanx cannot be 0

Cotx = cosx/sinx

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4
Q

tanx

A

tanx= sinx/cosx

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5
Q

Pythagorean

A

sin2x + cos2x = 1

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6
Q

cot2x

A

1 + cot2x = csc2x

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7
Q

tan2x

A

1 + tan2x = sec2x

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8
Q

Sine law finding a side

A

a/Sina A = b/SinB = c/SinC

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9
Q

Sine law finding an angle

A

SinA/a = SinB/b = Sinc/c

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10
Q

Cosine law finding a side

A

a2 = b2 + c2 - 2bc cosA

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11
Q

Cosine law finding an ankle

A

CosA = b2+c2-a2/2bc

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12
Q

For a 30, 60, 90 triangle what are the side lengths?

A

hypotenuse is 2
Small side (height) is 1
other is root 3

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13
Q

For 45 triangles what are the side lengths?

A

hypotenuse is 2
other two are root 2

OR
hypotenuse is root 2
other two sides are 1

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14
Q

What criteria must be met for a triangle to be ambiguous?

A
  • 1 angle and 2 sides must be given
  • the angle must be across from smallest side
  • angle must be less than 90 degrees
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15
Q

What equation gives you height?

A

bsinA = h

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16
Q

When do you get each amount of solutions?

A

a=h –> 1 solution
a> b –> 1 solution
h<a> 2 solutions
a 0 solutions </a>

17
Q

In an obtuse triangle what are the number of solutions for each situation?

A

a>b –> 1 solution

a<b> no solutions </b>