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Here is my problem

My math Mathway.com account tells me the answer is

I would assume that to remove the 2 in the denominator both sides were multiplied by 2. What I don't understand is how the square root was removed. if you square both sides the 2's should become 4's correct? That,s the part of my confusion can some one please explain whats going and tell me what math principle I am missing here or just not applying correctly.

My math Mathway.com account tells me the answer is

I would assume that to remove the 2 in the denominator both sides were multiplied by 2. What I don't understand is how the square root was removed. if you square both sides the 2's should become 4's correct? That,s the part of my confusion can some one please explain whats going and tell me what math principle I am missing here or just not applying correctly.

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I used Mathway.com on my laptop and it gave me the above incorrect answer. Right now, I would not put my trust in Mathway.com, unless there is a input notation that is different than what I wrote.

Perhaps they printed a square root in a font that we don't have.

it is not a correct transform of http://filedb.experts-exchange.com/incoming/2015/05_w23/916471/Trig1.JPG,

as others have noted, it is missing a sqrt

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Also, fyi -http://www.wolframalpha.com/input/?i=tan%28x%29%5E2+%3D+%28sqrt%282%29%2F2%29+*+sec%28x%29