+0  
 
0
1628
1
avatar

What is cosine and sine if tan x= -5/6, 3pi/2 < x < 2pi?

 Mar 28, 2015

Best Answer 

 #1
avatar+118724 
+5

tan x is negative so x could be in the 2nd or 4th quadrant.  Cos x and sin x could be neg or positive.

3pi/2 < x < 2pi      This is the 4th quad    SO

Cos(x) is positive and   sin(x) is negative

 

tanx = opp / add     SO  

opp=5     adj = 6    hypot = sqrt(25+36) = sqrt(61)    [or a constant times these]

 

$$\\cos(x)=\frac{6}{\sqrt{61}}\\\\
sin(x)=-\frac{5}{\sqrt{61}}\\\\$$

 Mar 29, 2015
 #1
avatar+118724 
+5
Best Answer

tan x is negative so x could be in the 2nd or 4th quadrant.  Cos x and sin x could be neg or positive.

3pi/2 < x < 2pi      This is the 4th quad    SO

Cos(x) is positive and   sin(x) is negative

 

tanx = opp / add     SO  

opp=5     adj = 6    hypot = sqrt(25+36) = sqrt(61)    [or a constant times these]

 

$$\\cos(x)=\frac{6}{\sqrt{61}}\\\\
sin(x)=-\frac{5}{\sqrt{61}}\\\\$$

Melody Mar 29, 2015

0 Online Users