Trig Flashcards
CSC
Cscx = 1/sinx
sinx cannot be 0
Sec
Secx = 1/cosx
cosx cannot be 0
Cot
Cotx = 1/tanx
tanx cannot be 0
Cotx = cosx/sinx
tanx
tanx= sinx/cosx
Pythagorean
sin2x + cos2x = 1
cot2x
1 + cot2x = csc2x
tan2x
1 + tan2x = sec2x
Sine law finding a side
a/Sina A = b/SinB = c/SinC
Sine law finding an angle
SinA/a = SinB/b = Sinc/c
Cosine law finding a side
a2 = b2 + c2 - 2bc cosA
Cosine law finding an ankle
CosA = b2+c2-a2/2bc
For a 30, 60, 90 triangle what are the side lengths?
hypotenuse is 2
Small side (height) is 1
other is root 3
For 45 triangles what are the side lengths?
hypotenuse is 2
other two are root 2
OR
hypotenuse is root 2
other two sides are 1
What criteria must be met for a triangle to be ambiguous?
- 1 angle and 2 sides must be given
- the angle must be across from smallest side
- angle must be less than 90 degrees
What equation gives you height?
bsinA = h