+0  
 
0
100
3
avatar+175 

Solve for all solutions 0-2pi

Sec^2x = 4tan^2x

Maplesnowy  May 31, 2018
 #1
avatar
+1

convert all to sin and cos and simplify

1/cos^2 = 4sin^2/cos^2

multiply both sides by cos^2, simplipies to sin^2=1/4

arc sin of +/- sqrt 1/4 = pi/6 and (-pi/6 degrees) <- not in 0 to 2pi

going to 2pi we probably will need to add pi to those for the other values

7pi/6 and 5pi/6 and pi/6 from above would be the three answers

Guest May 31, 2018
 #2
avatar+12566 
+2

I would add  11pi/6   (same as -pi/6 but in the 0-2pi range)

ElectricPavlov  May 31, 2018
 #3
avatar+9520 
+1

Solve for all solutions 0-2pi

Sec^2x = 4tan^2x

laugh

Omi67  May 31, 2018

13 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.