What is sqrt(1^2+(-tan(t))^2) ?

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

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simplify sqrt(1^2+(-tan(t))^2)

simplify

1^{2} + (- tan (t))^{2}

sec^{2} (t)

Solution steps

1^{2} + (- tan (t))^{2}

Apply rule

1^{a} = 1

1^{2} = 1

= 1 + (- tan (t))^{2}

Apply exponent rule:

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

n

is even

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

= 1 + tan^{2} (t)

Rewrite using trig identities

= sec^{2} (t)

10 cos (2 x + \frac{π}{2})

cos^{- 2} (y) d y

6 cos (x - 3 0^{\circ})

- 2 cos (6 x - (\frac{( π )}{( 2 )}))

tan (arcsin (\frac{h - T}{W}))

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