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Solve for all solutions 0-2pi

Sec^2x = 4tan^2x

 May 31, 2018
 #1
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+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

 May 31, 2018
 #2
avatar+18114 
+2

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

ElectricPavlov  May 31, 2018
 #3
avatar+10254 
+1

Solve for all solutions 0-2pi

Sec^2x = 4tan^2x

laugh

 May 31, 2018

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