Question

how does csc(-120) equal to -csc(120)?

Answer 1

sin and tan are odd
cos = even
\[\large\rm sin(-\theta)= -\sin \theta\]\[\large\rm cos(-\theta)= \cos \theta\]\[\large\rm Tan(-\theta)= - Tan \theta\]

Answer 2

I still don't understand

Answer 3

what is reciprocal of sin ,cos and tan ???

Answer 4

Honestly I have no idea. I am the worst with trigonometry. I don't understand it whatsoever

Answer 5

then u need to start it over
\[\large\rm sin =\frac{ 1 }{ \csc }~~\cos=\frac{ 1 }{ \sec }~~~\tan=\frac{ 1 }{ \cot }=(\frac{ \sin }{ \cos })\]
reciprocal of sin is 1/csc
reciprocal of cos is 1/sec
reciprocal of tan is 1/cost or you can say sin /cos

csc=1/sin
sec=1/cos
cot=1/tan
csc , sec and cot are reciprocal of sin , cos and tan

Answer 6

if sin =a/b then csc = b/a

Answer 7

so if sin is odd function then csc is odd or even ?

Answer 8

odd

Answer 9

yes right that's how \[\huge\rm csc(-120)= - \csc(120)\]

Answer 10

another way of looking at it is using the unit circle and fact that neg angle goes clock-wise

Answer 11

but I'm just not understanding how the negative comes out

Answer 12

sin refers to "y-value" , on the circle sin(-120) is the neg y-value of sin(120)