The Unit Circle
Basic Trig
Formulas
Inverses
100

The sine of 90°

1

100

cos (π/2 - x) equates to ..?

sin x

100

sin2x + cos2x equates to ..?

1

100

The inverse of sine and its reciprocal is located in which two quadrants?

Quadrants 1 and 4

200

The cosine of 225°

-(√2)/2

200

cot x equates to ..?

(cos x)/(sin x)

200

tan2x + 1 equates to ..?

sec2x

200

The inverse of cotangent lives in which two quadrants.?

Quadrants 1 and 2

300

The secant of 60°

2

300

sec (-x) equates to ..?

sec x

300

cos(a+b) equates to ..?

cos(a)cos(b) - sin(a)sin(b)

300

csc-1(2) equates to ..?

30°

400

The acronym that Mrs. Byrd taught us to remember the Unit Circle

All Students Take Calculus

400

sin x + sin 2x equates to ..?

x = 0, 2π/3, π, 4π/3

400

sin(2x) equates to ..?

2sin(x)cos(x)

400

cos-1(1/2) equates to ..?

60°

500

Only the Tangent and its reciprocal are positive in this quadrant

Quadrant 3

500

(sin x)/(1-cos x) + (sin x)/(1+cos x) equates to ..?


2 csc x

500

tan(x/2) equates to ..?

±√[1 - cos x] / [1 + cos x]

500

cot-1(1) equates to?

45°