Question

csc(6x)+cot(6x) / csc(6x)-cot(6x) = _______________.

A. cot^2(6x)

B. cot(3x)

C. cot^2(3x)

D. tan(6x)

***my answer: C

is that right? @terenzreignz ? :)

Answer 1

csc(6x)−cot(x)csc(6x)+cot(6x)

Answer 2

methinks you forgot the squares

Answer 3

tan^2(3x)

Answer 4

D my friend

Answer 5

aw darn :( how'd u get that?

Answer 6

Source(s): MY BRAIN

Answer 7

lol okay :P

thanks!! :D yeah @terenzreignz me thinks so too now :P

that stuff confuses me lol

Answer 8

here ill show my work

Answer 9

thank you!!! :D

Answer 10

y = 6x

ƶ = y ⁄ 2 = 3x

----------> 2cos²(A ⁄ 2) = 1 + cosA (identity used)

----------> 2sin²(A ⁄ 2) = 1 − cosA (identity used)


It is hard to tell what the problem is without brackets [ ]


.... [ (1 ⁄ siny) + (cosy ⁄ siny) ] ............ (1 + cosy)
= ———————————— ... = ... ——————
.... [ (1 ⁄ siny) − (cosy ⁄ siny) ] ............ (1 − cosy)



..... 2cos²(ƶ)
= —————— = cot²(ƶ) = cot²(3x)

Answer 11

wait but didn't you say it was tan(6x) ? :/

Answer 12

pellet sry stupid typing

Answer 13

I still haven't mastered my keybord used to windows just switched to apple

Answer 14

so yes that's what I ment sry

Answer 15

lol :) ohhh haha cool! are windows and apple that different? pellet? :/

Answer 16

wait, so is it C or D then? :/

Answer 17

when you say crap with the s word it switches to pellet

Answer 18

oh does it really? lol thats funny :P

i never knew that :P

Answer 19

it looks to me like its c

Answer 20

u agree?

Answer 21

yeah apple has a completely different keyboard

Answer 22

yeah, i thought it was C, but you said it was D? ;/ but what you wrote makes sense :) so i guess it's C after all then? :)

Answer 23

yes ure correct

Answer 24

haha kk thank you :)

Answer 25

as I said you have a bright future @iheartfood

Answer 26

haha thank you @shelbygt520 :)

Answer 27

Develop the numerator of the expression y:
1/sin 6x+ cot 6x/sin 6x = (1 + cos 6x)/sin 6x
Denominator: 1/sin 6x - cos 6x/sin 6x = (1 - cos 6x)/sin 6x.
Simplify by sin 6x:
y = (1 + cos 6x)/(1 - cos 6x)
Use the trig identities: (1+ cos 2a) = 2*cos^2 a, and (1 - sin 2a) = 2sin^2 a
Finally: y = 2*cos^2 (3x)/2*sin^2 (3x) = cot^2 (3x).