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1. sin (-720) 2. tan (-180) 3. cos (540) 4. tan ( ) 5. csc (4 ) 6. sec ( ) 0 0 0 Undefined

Slide 3

1. sin = -1 1. sec = -1 2. tan = 0 3. sin = 0 270 + 360k where k is any integer 180 + 360k where k is any integer 180k where k is any integer 180k where k is any integer

Slide 4

1.) y = sin x [-90 x 90], scale of 45

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1.) y = tan x [- /2 x 3 /2], scale = /4

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1.) y = cos x [-360 x 360]

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1.) y = sec x [-360 x 360]

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1.) y = -2sin 2.) y = 10sec 3.) y = -3sin 4 4.) y = 0.5sin ( - ) 5.) y = 2.5 cos( + 180)6.) y = -1.5sin (4 - ) Amp = 2 Per = 360 PS = 0 Amp = 10 Per = 360 PS = 0 Amp = 0.5 Per = 360 PS = right Amp = 3 Per = 90 PS = 0 Amp = 2.5 Per = 360 PS = 180 left Amp = 1.5 Per = 90 PS = right

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1.) Amp = 0.75, period = 360, PS = 30 2.) Amp = 4, period = 3, PS = -30 y = 0.75 sin( - 30) y = 4 sin(120 +3600)

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1.) Amp = 0.75, period = 360, PS = 30 2.) Amp = 4, period = 3, PS = -30 y = 3.75 cos (4 - 16) y = 12 cos (8 - 1440)

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1.) y = 0.5 sin x

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1.) y = 2 cos (3x)

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1.) y = 2 cos (2x 45)

Slide 14

1.) y = tan (x + 60)

Slide 15

Find the exact value of each expression without using a calculator. When your answer is an angle, express it in radians. Work out the answers yourself before you click.

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Answers for problems 1 9. Negative ratios for arccos generate angles in Quadrant II. y x 1 2 The reference angle is so the answer is

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y x 2 14. x 1 2 y 15.

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1.) y = -2cos (3 ), scale /4, -2 2

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1.) y = cos(x /2)

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1. 2. 3. 4.

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1. 2.

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1.Find the values of for which the equation tan = 1 is true. 2.State the domain and range for the function y = -csc x 3.State the amplitude, period, and phase shift of: 4.Write an equation of the cosine function with amplitude 7, period , and phase shift 3 /2 45+180k D = all reals except 180k R = y -1 or y 1 A = PS = - /6 P = 2