Homework Help: Pre-Calculus-check answers

Posted by Lucy on Saturday, August 30, 2008 at 8:38pm.

State the period and phase shift of the function y=-4tan(1/2x + 3pi/8)

a) 2pi, -3pi/4
b) pi, 3pi/8
c) 2pi, 3pi/8
d) pi, -3pi/8

Answer: d

2) What is the equation for the inverse of y=cos x+3:
a) y=Arccos(x+3)
b) y=Arccos x-3
c) y=Arccos x+3
d) y=Arccos(x-3)

Answer:d

Thanks for your help

Pre-Calculus-check answers - Reiny, Saturday, August 30, 2008 at 11:22pm
in y=-4tan(1/2x + 3pi/8)
y = -4 tan (1/2)[x + 3pi/4]

so the period is 2pi/(1/2) = 4pi which is none of your choices.
Did you type your questions or answers correctly??

the phase shift would be 3pi/4 radians to the left.

2)
the inverse of y = cos x+3 is x = cos y+3

then cos y = x-3
and y = arccos(x-3)
Pre-Calculus-check answers - Lucy, Saturday, August 30, 2008 at 11:59pm
I double checked my typing on the first problem and everything was entered correctly.
- Pre-Calculus-check answers - Reiny, Sunday, August 31, 2008 at 12:29am
  then the book is wrong
  - Pre-Calculus-check answers - Lucy, Sunday, August 31, 2008 at 11:42am
    I am not surprised as I have found many errors thus far.
    
    Thanks for helping

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