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Hint

1

What goes in quadrant 1?

(+,+) All Pythagorean identities are positive

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2

What goes in quadrant 2?

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

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3

What goes in quadrant 3?

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

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4

What goes in quadrant 4?

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

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5

How can I remember where the six functions are positive ?

**C** (COS, Q4)

**A** (ALL OF THEM Q1)

**S** (SIN, Q2)

**T** (TAN, Q3)

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6

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

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7

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

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8

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

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9

Characteristics of __ y=sinx__ and

domain: all real numbers

range: -1 <= y <= 1

amplitude: half the difference of the maximum *M* and minimum *m* values : a=1/2 (M-m)

periodic: repeating pattern-cycle,

y=sinx : 0, pi, 2pi, 3pi, 4pi …

y=cosx : 0, pi/2, 3pi/2, 5pi/2, 7pi/2, 9pi/2, …

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