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 (x))^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- tan (x))^{2} = tan^{2} (x)

= 1 + tan^{2} (x)

Rewrite using trig identities

= sec^{2} (x)

cos (2 θ + 2 θ)

cot (- 9 0^{\circ} - x)

sin (- y)

tan (arcsec (e^{x}))

sin (arccos (8 x))

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