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Find the value of tan x is sin(x) + cos(x) = 1/5 and pi/2 < x < pi.

 Dec 9, 2019
 #1
avatar+19851 
0

88888888888888

 

Sin x = 4/5          or     - 3/5

Cos x = -3/5        or     4/5                 

 

for quadrant II     sin is positive    so   4/5   

                          and cos is negative    so   -3/5

then tan = sin/cos =  4/5 / -3/5 =  - 4/3

 Dec 9, 2019
edited by ElectricPavlov  Dec 9, 2019
edited by ElectricPavlov  Dec 9, 2019
 #2
avatar+106933 
0

Thanks for answering EP 

 

But I do not understand your logic.

 Dec 9, 2019
 #3
avatar+28357 
+3

Here's a little more detail:

 

 Dec 9, 2019
 #4
avatar+106933 
0

ok thanks for the explanation Alan :)

Melody  Dec 9, 2019

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