Question

find the value of

tan (-330) degrees

Answer 1

@neer2890 @Koikkara @Kainui @iambatman

Answer 2

Now let me start again

Answer 3

\(\color{darkgreen}{~''Gof. ~write~ all~ your~ points~!!~then We~will~start"}\)

Answer 4

tan (-330)
= - tan(330)
= - tan(90*3 + 60)
= - cot(60)
= -(-1/sqrt 3 )
= 1/sqrt 3 ......................... is this okay ?

Answer 5

@neer2890 @Koikkara Check

Answer 6

way too difficult! There's a way so much easier than that!!!!!

Answer 7

@Kainui check my working

Answer 8

Just to be sure, what is your reasoning behind making this step:

= - tan(90*3 + 60)
= - cot(60)

Answer 9

cot 60 \[\cot 60=\frac{ 1 }{ \sqrt{3} }\]
i think you wrote-(cot 60) by mistaken instead of -(-cot 60)

Answer 10

Use a reference angle....just sayin'! lalalalala.....

Answer 11

Even easier is adding 360 to that angle to get 30 degrees and then doing tan(30)= sqrt(3)/3

Answer 12

= - tan(90*3 + 60)

this means by division method I have splitted it int as co-terminal angle

Answer 13

Thank you doulikepiecauseidont!!!!!!!!!! That's the easy way!

Answer 14

now
= - cot(60)

it is because since,
tan (90 + 60) changes to it's co function.
hence - cot 60

Answer 15

Now after that value of cot 60 in forth quadrant will be - 1/sqrt of 3

Answer 16

hence - ( - 1/sgrt 3) = 1/ sqrt 3 ......................... am I corrct guys ?

Answer 17

*correct

Answer 18

Yes you are correct...but it took way too much effort to get there. Good job, though! As long as you're correct that is all that matters.

Answer 19

correct.. you can also use the method given by IMstuck. But what you did is the basic thing to remember.