No Calculator Trig Functions &
SOH CAH TOA
By: Brandon Steinhilber
Madalynn Krutzik
Megan Allar
When is it used?

Used with Right Triangles ONLY

Used to find missing angles and/or
missing sides

Doesn’t always require a calculator
SOH CAH TOA
Sine
Opposite
Hypotenuse
Cosine
Adjacent
Hypotenuse
Tangent
Opposite
Adjacent
http://home.roadrunner.com/~mrbellotti/mathsongs/index.htm
Special Triangles
 No
calculator needed to find side
lengths/angles with special triangles.
 Special
triangles are: 45°, 45°, 90°
and 30°, 60°, 90°.
Special Triangles Are Used When
the denominator is 6, then the angle is
30°.
 the denominator is 3, then the angle is
60°.
 the denominator is 4, then the angle is
45°.

π/2
(0,1)
Cos=x
Sin=y
Tan=y/x
π

(-1,0)
If the denominator
is 1 or 2, then use
the corresponding
points to find the (0,-1)
answer
3π/2
(1,0) 2π
45-45-90 Triangle Trig Functions
45° (π/4) Trig Functions
π/4
π/4
Sin = 1/√2
Csc =√2/1
Cos = 1/√2
Sec = √2/1
Tan = 1/1
Cot = 1/1
30-60-90 Triangle Trig Functions
30° (π/6) Trig Functions
π/6
Sin=1/2
Csc=2/1
Cos=√3/2
Sec=2/√3
Tan=1/√3
Cot=√3/1
60° (π/3) Trig Functions
π/3
Sin= √3/2
Csc= 2/√3
Cos=1/2
Sec=2/1
Tan=√3/1
Cot=1/√3
http://www.onlinemathlearning.com/trigonometry-special-angles.html
This is used to find out
whether the answer is
positive or negative by
dividing the numerator
by the denominator and
excluding pi, and finding
the quadrant it’s in.
http://planetmath.org/DeterminingSignsOfTrigonometricFunctions.html