Question

double angle formulas

Answer 1

cot \[5\pi \over 6\]

Answer 2

Do you want to solve it by using Double Angle Formulas ??

Answer 3

yes please

Answer 4

Can't you solve it directly ??

Answer 5

it says find the "exact" value

Answer 6

idk how to imply that

Answer 7

\[\frac{5 \pi}{6} = 150^{\circ}\]

Right ??

Answer 8

you dont really need to use double angle formulas for this...

Answer 9

maybe if its 5pi/12 then yes it would advisable to use o.0

Answer 10

\[\cot(150) = \cot(90 + 60) = -\tan(60) = - \sqrt{3}\]

Answer 11

it's cot (5π)/6

Answer 12

\[\frac{\cot(5 \pi)}{6}\]

6 is not in the angle it is the fraction right???

Answer 13

yes that's right

Answer 14

how do you know it's −3√

Answer 15

is that your answer tell me or not ??

Answer 16

−√3

Answer 17

yes it is but i mean how do you come up with that answer ?

Answer 18

So your question is :

\[\large \cot(\frac{5 \pi}{6})\]

Right ??

Answer 19

yuppp i just didnt know how to type that in the equation format

Answer 20

http://www.math.utah.edu/~palais/pi.html

Answer 21

See :

You should convert it to degrees so that it becomes easy for you..

\[\frac{\pi}{6} = \frac{\pi}{6} \times \frac{180}{\pi} = 30^{\circ}\]

So:

\[\frac{5 \pi}{6} = 5 \times 30 = 150\]

Getting till here ??

Answer 22

I always go back to the degree value of pi and the radian value of 360 degrees

Answer 23

So :

you have not:

\[\large \cot(150^{\circ}) \implies \cot(180^{\circ} - 30^{\circ}) \implies -\cot(30^{\circ})\]

Can you find cot(30) ??

Answer 24

cot= -tan

Answer 25

\[\cot(30) = \tan(60) = \sqrt{3}\]

Answer 26

how do you know which values to use

Answer 27

What i have written above:

-cot(30) so here you will use : cot(30) i guess..

Answer 28

k no you just confused me

Answer 29

Where ??