Simplify and write the trigonometric expression in terms of sine and cosine:

((2+tan^2 x)(sec^2 x))-1 = (f(x))^2
f(x)= ???

3 answers

( 2 + sin^2/cos^2)(1/cos^2) = 1 + y^2

(2/cos^2 + sin^2 /cos^4) = 1 + y^2

y^2 = (2 cos^2 + sin^2)/cos^4 - 1

y=+/- sqrt[ (2 cos^2 + sin^2)/cos^4 - 1 ]
that is not right according the program
( 2 + sin^2/cos^2)(1/cos^2) = 1 + y^2

(2 cos^2 + sin^2) /cos^4 = 1 + y^2

y^2 = (2 cos^2 + sin^2)/cos^4 - 1

y=+/- sqrt[ (2 cos^2 + sin^2)/cos^4 - 1 ]

well you could write it this way

y = +/- sqrt[ ( cos^2 +1)/cos^4 - 1]
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