# Finding primary trig ratios

1. Oct 25, 2016

### Veronica_Oles

1. The problem statement, all variables and given/known data
The question states to find the primary trig ratios for (7π)/4

2. Relevant equations

3. The attempt at a solution
I got
sin= (-√2)/2
cos=(√2)/2
tan= -1
csc= 2/(-√2)
sec= 2/(√2)
cot= -1

I got all of them correct except for csc and sec, and I am unsure why the solutions are telling me
csc = -√2
sec = √2
I thought my original answers were correct because csc is reciprocal of sin and sec is reciprocal of cos.
Can someone help me make sense of this?

2. Oct 25, 2016

### Staff: Mentor

Write $2= \sqrt{2}\,\cdot\,\sqrt{2}$ and cancel one root factor.

3. Oct 25, 2016

### SammyS

Staff Emeritus
Rationalize the denominators.