What is sqrt(1+tan^2(x)) ?

The solution to sqrt(1+tan^2(x)) is sqrt(sec^2(x))

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simplify sqrt(1+tan^2(x))

simplify

1 + tan^{2} (x)

sec^{2} (x)

Solution steps

1 + tan^{2} (x)

Rewrite using trig identities

= sec^{2} (x)

sin (arccos (\frac{x}{2}))

cos (π - θ)

sin (x + π)

sin (π + x)

sin (9 0^{\circ} + x)