Precalc trig (unit circle)

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pi/4 (45 degrees)

(√2/2, √2/2)

pi/6 (30 degrees)

(√3/2, 1/2)

Unit circle axis labels from right counter clockwise

0pi (0 deg), 1pi/2 (90 deg), pi (180 deg), 3pi/2 (270 deg), 2pi (360 deg)

Radius of unit circle

1 unit

Trig csc, sec, cot

1/y (cosecant), 1/x (secant), x/y (cotangent)

pi/3 (60 degrees)

(1/2, √3/2)

For backwards non special angles

Figure out quadrant, inverse of trig is ref., calculate the ref angle chart

coterminal angles

add or subtract 360 degrees/2 pi

Reciprocal of tan

cot=A/O

30-60-90 triangle

x (side next to 60deg), x√3 (side next to 30deg), 2x (hypotenuse)

45-45-90 triangle

x, x, x√2

Trig sin, cos, tan

y (sine), x (cosine), y/x (tangent)

90 degrees=

π/2

Normal #

It's in radians

If the denominator is 2

It's in the axis

Don't plug _ in calc when going backwards

Negative

3 # fowards problem

Put in radiams

θ must be measured in

Radians (for arc length)

Quadrant 1 formula

Reference

Not the unit circle

SOH CAH TOA

SOH

Sin=Opposite/Hypotenuse

TOA

Tan=Opposite/Adjacent

S=

Arc length

s

θ=

s/r

Reciprocal of cos

sec= H/A

Reciprocal of sin

csc= H/O

radians to degrees

multiply by 180/pi

degrees to radians

multiply by pi/180

Quadrant 3 formula

pi/180+ref.

Quadrant 2 formula

pi/180- ref.

12 special angles of first quadrant

pi/6 (√3/2, 1/2), pi/4 (√2/2, √2/2), pi/3 (1/2, √3/2)

Backwards has_ answers unless on the _

2; axis

12 special angles of second quadrant

2pi/3 (-1/2, √3/2), 3pi/4 (-√2/2, √2/2), 5pi/6 (-√3/2, 1/2)

Quadrant 4 formula

2pi/360-ref.

12 special angles of fourth quadrant

5pi/3 (1/2, -√3/2), 7pi/4 (√2/2, -√2/2), 11pi/6 (√3/2, -1/2)

1 degree= (mins)

60 mins

1'=

60"

60'

12 special angles of third quadrant

7pi/6 (-√3/2, -1/2), 5pi/4 (-√2/2, -√2/2), 4pi/3 (-1/2, -√3/2)

Decimal degrees and degrees mins seconds on calc

Control book then push triangle and type dd or dms

CAH

Cos=Adjacent/Hypotenuse

When can you use the degree button

For cowards not backwards calculations


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