+0  
 
0
133
1
avatar+295 

Suppose that tan(t)=7/5 and that t is in the 3rd quadrant. Find the exact value of sec(t).

Deathstroke_rule  Apr 7, 2017
Sort: 

1+0 Answers

 #1
avatar+76972 
+2

x and y are negative in the 3rd quadrant.....so....

 

tan (t)   = y / x   = -7/-5   = 7/5   ...and.....

 

sec(t)   = r / x    where r  =   sqrt (x^2 + y^2)  =  sqrt (5^2 + 7^2)  =

sqrt (49 + 25) = sqrt (74)

                                            

 

So......

 

sec(t)   =  sqrt (74) / -5  =  -sqrt(74) /5

 

 

 

cool cool cool 

CPhill  Apr 7, 2017

6 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details