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

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

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

simplify

1 + (tan (x))^{2}

sec^{2} (x)

Solution steps

1 + tan^{2} (x)

Rewrite using trig identities

= sec^{2} (x)

sin (- x) + sin (x)

cos (72 0^{\circ} + x)

cot (\frac{π}{2} - x) cos (x)

cos (2 (x + \frac{π}{2}))

sec (\frac{1}{2} π - x)

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