Question

sin -11pi/6

Answer 1

pi= 180

sin (11 * 180 / 6)

sin (330)

sin(270 + 60) use

sin(a+b) identity a bunch of times.


or just look at trigonometric table before converting pi to degrees.

Answer 2

would that end up as \[\sqrt{3}\] over 3

Answer 3

I need to solve it, hold....

Answer 4

sin(330)=sin(360-30)=sin(-30)

ignore the 360, because it's a full circle.


sin(30)=1/2 so sin(-30)= -1/2

Answer 5

could you break it down even further, i don't understand the concept

Answer 6

after you get -1/2, break it down?

Answer 7

What don't you get, do you need explanation on how I ignored 360 ?

Answer 8

explain it all from the start in a simpler way please, I am familiar with the circle but nothing else

Answer 9

DO you agree with saying that sin(330)=sin(360-30) ?

Answer 10

yes, 360 is the closest axis to 330

Answer 11

Ok, I am ignoring the 360 and I am left with -30, because the circle is 360
and whether you have just -30 or -30+360 or -30+360+360+360... wouldn't matter.

Ok?

Answer 12

makes sense

Answer 13

So, now we are left with sin(-30) right?

Answer 14

yes, but how do i convert from pi

Answer 15

No need, you just converted it from pi to get 330, right?

we know from the trigonometric table that sin(30)=1/2
so sin(-30)=-sin(30)= - (1/2)

Answer 16

oh, would it work for other trigonometric functions also?

Answer 17

For example?