Precalculus

Chapter 4 review

What goes in quadrant 1?

(+,+) All Pythagorean identities are positive

What goes in quadrant 2?

(-,+) All Pythagorean identities are negative except sin, csc **A**

What goes in quadrant 3?

(-,-) All Pythagorean identities are negative except tan, cot **T**

What goes in quadrant 4?

(+,-)All Pythagorean identities are negative except cos, sec **C**

How can I remember where the six functions are positive ?

**C** (COS, Q4)

**A** (ALL OF THEM Q1)

**S** (SIN, Q2)

**T** (TAN, Q3)

TRIGONOMETRIC FUNCTIONS OF ANY ANGLE : SIN

0 degrees, 0 radians - 0

30 degrees, pi/6 radians - 1/2

45 degrees, pi/4 radians - (sqrt2)/2

60 degrees, pi/3 radians - (sqrt3/2

90 degrees, pi/2 radians - 1

180 degrees, pi radians - 0

270 degrees, 3pi/2 radians - 1

TRIGONOMETRIC FUNCTIONS OF ANY ANGLE : COS

0 degrees, 0 radians - 1

30 degrees, pi/6 radians - (sqrt3)/2

45 degrees, pi/4 radians - (sqrt2)/2

60 degrees, pi/3 radians - 1/2

90 degrees, pi/2 radians - 0

180 degrees, pi radians - -1

270 degrees, 3pi/2 radians - 0

TRIGONOMETRIC FUNCTIONS OF ANY ANGLE : TAN

0 degrees, 0 radians - 0

30 degrees, pi/6 radians - (sqrt3)/3

45 degrees, pi/4 radians - 1

60 degrees, pi/3 radians - sqrt3

90 degrees, pi/2 radians - undefined

180 degrees, pi radians - 0

270 degrees, 3pi/2 radians - undefined

Characteristics of __**y=sinx**__ and __**y=cosx**__

domain: all real numbers

range: -1