How do you find the exact value of tan270°?

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How do you find the exact value of tan270°?

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Answer 1 · 2015-09-30T20:56:24

$oo$

Explanation:

$2pi=360^o$
$pi=180^o$
$pi+pi/2=180^o+90^o=270^o$
$tan270^o=tan(pi+pi/2)=tan(pi/2)=oo$
as $tan$ is positive in 3rd quadrant

Answer 2 · 2015-10-03T15:06:53

$tan(270^@)$ is undefined

Explanation:

$tan(theta) = y/x$ for an angle $theta$ in standard position on the Cartesian axis system.

For an angle of $theta = 270^@$
$color(white)("X")$ as $theta rarr 270^@$ $color(white)("XXX")xrarr0$ (positively or negatively depending upon which quadrant $theta$ approaches $270^@$ from)

Since division by $0$ is undefined
$color(white)("XXX")tan(270^@) = (y=-1)/(xrarr0)$ is undefined.
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How do you find the exact value of tan270°?

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