Question

find the value of


tan (-330) degrees

Answer 1

First of all apply this:

\[\large{\tan(-x) = -\tan(x)}\]

Answer 2

What will you get ?

Answer 3

I would instead suggest that since tangent is a trig function it's periodic every 360 degrees. that means you can add or subtract 360 to any value and it's the same.

tan(x)=tan(x+360)

That's another way of looking at it.

Answer 4

tan (x) = tan(x+ 180 deg)

Answer 5

tan is periodic with period pi.

Answer 6

oh it will be \[\tan(-330)= -\frac{ 1 }{ \sqrt{3} }\]

Answer 7

True, but there's no reason to over complicate this @primeralph .

Answer 8

It's not getting over-complicated.

Answer 9

Yeah, I guess you're right. Alright, well @goformit100 are you working on it or still stuck?

Answer 10

He's offline

Answer 11

will the answer have -ve sign or +ve sign ?

Answer 12

Tan is odd function
so,
tan(-330)=-tan(330)=- tan(90*3+60)
(90*3+60) indicates 4th quadrant. in which tan theta is negative. so answer is negative.
also multiple of 90 is odd, so tan changes to cot theta.
so - tan(330)=-(-cot 60)=cot 60

Answer 13

@Koikkara

Answer 14

tan(-330)=-tan(330) How ?

Answer 15

because tan theta is odd function.
and odd function means
f(-x)=-f(x)

Answer 16

I just realized @primeralph 's picture isn't a lava monster or some sort of Tron character. Lol wtf.

Answer 17

also,
\[\tan \Theta=\frac{ \sin \Theta }{ cos \Theta }\]
sin is odd function and cos is even.
so tan is also odd fxn.

Answer 18

Will the answer be