Question 1072971
1. Find the values of the remaining functions if tan=1/4, sin<0
sin=
cos=
csc=
sec=
cot=
2. Find the values of the remaining functions if cos=3/5 in quadrant IV.
sin=
tan=
csc=
sec=
cot=
3. Graph y=tan [2(x-pi/4)]
Period=
Phase Shift=
Vertical Shift=
4. Graph y=-2 sec (x-pi/2)
Period=
Phase Shift=
Vertical Shift=
Amplitude=

Very confused on these homework problems, any help is appreciated!
<pre>You can't post so many problems simultaneously!
I'll help you with # 1.
As {{{matrix(1,3, tan (theta), "=", 1/4)}}}, and {{{matrix(1,3, sin (theta), "<", 0)}}}, it's obvious that {{{theta}}} is in the 3rd quadrant
{{{matrix(1,5, tan (theta), "=", (- 1)/(- 4), "=", y/x)}}} 
{{{y^2 + x^2 = r^2}}}
{{{(- 1)^2 + (- 4)^2 = r^2}}}
{{{17 = r^2}}}
{{{matrix(1,3, r, "=", sqrt(17))}}}
{{{highlight_green(matrix(1,5, sin (theta), "=", - 1/sqrt(17), or, - sqrt(17)/17))}}} 
{{{highlight_green(matrix(1,5, cos (theta), "=", - 4/sqrt(17), or, - 4sqrt(17)/17))}}} 
{{{highlight_green(matrix(1,3, csc (theta), "=", - sqrt(17)))}}} 
{{{highlight_green(matrix(1,3, sec (theta), "=", - sqrt(17)/4))}}} 
{{{highlight_green(matrix(1,3, cot (theta), "=", 4))}}}