Question

So CONFUSING FOR ME ???


Which of the following is greatest ?

A) cosec 1
B) cosec 2
C) cosec 4
D) cosec (-6)

Answer 1

\[\csc (1) = \frac{ 1 }{ \sin (1) }\]
\[csc (2) = \frac{ 1 }{ sin (2) }\]
\[csc (4) = \frac{ 1 }{ sin (4) }\]
\[csc (-6) = \frac{ 1 }{ sin (-6) }\]

Answer 2

correct !

Answer 3

so , sin 4 > sin 2 > sin 1> sin (-6)
is it correct ??

Answer 4

@dimensionx

Answer 5

yes, sin 4 > sin 2 > sin 1 > sin (-6)

Answer 6

so , cosec (-6) is our answer

Answer 7

Well, csc (-6) will yield a negative value

Answer 8

yeah...so this is so small

Answer 9

therefore, cosec 1 is our answer

Answer 10

bingo!

Answer 11

but this is not the answer !

Answer 12

why?

Answer 13

lol.. i don't know that's why i am asking here ?

Answer 14

it should be...

Answer 15

i hope you are correct !

Answer 16

sin(1) is the smallest (other than sin(-6) which is negative), so 1/sin(1) should be the greatest.

Answer 17

we should take some suggesstions from the best users !

Answer 18

@ganeshie8 @e.mccormick @eliassaab @Whitemonsterbunny17 @Destinymasha @jim_thompson5910 @dan815 @Callisto

Answer 19

@texaschic101

Answer 20

@satellite73

Answer 21

Well what is the correct answer?

Answer 22

Are the angles in degree or radian?

Answer 23

i don't know !
suppose they are in degree

Answer 24

If they are in degrees , you are right; if they are in radians, you are wrong

Answer 25

yeah !!

Answer 26

\[\large \bf \sin(1^c)=\sin(\frac{180}{\pi})\]

Answer 27

and this is approximate to :-
0.679

Answer 28

\[\large \bf \sin(2^c)=\sin(\frac{2 \times 180}{\pi})=0.997\]

Answer 29

A) cosec 1 = 1/(sin57)
B) cosec 2 = 1/(sin 114) = 1/sin(66)
C) cosec 4 = 1/(sin 229) = something -ve
D) cosec (-6) = 1/(sin -343) = 1/sin(16)

Answer 30

D) cosec (-6) = 1/sin(-342)=1/sin (18)

Answer 31

Well in that case,

Answer 32

sin(66) > sin(57) > sin(16)
=> csc(66) < csc(57) < csc(16)

Answer 33

yeah !! now i understand

Answer 34

thank you @Callisto and @dimensionx

Answer 35

@dimensionx OPTION D IS CORRECT ANSWER

Answer 36

but how do we know that value is in degree or radian ?
like in this question

Answer 37

@Callisto

Answer 38

if we choose degree,then option A is correct
if we choose radian,then option D is correct

Answer 39

According to my teacher, in advanced mathematics, especially in calculus, we don't use degree

Answer 40

see,if i tick option A,then my answer is wrong according to answer key because i take degree

Answer 41

oh !! i see @Callisto

Answer 42

thanks for your help !

Answer 43

@mayankdevnani Your claim that "D) cosec (-6) = 1/sin(-342)=1/sin (18)" is not quite true. Maybe you should check your calculation.

Answer 44

\[\large \bf 57 \times (-6)=-342\]

Answer 45

am i wrong here ??

Answer 46

@Callisto

Answer 47

are you there ?????

Answer 48

\(\frac{180}{\pi}\times (-6) = -343.7746771...\)

Answer 49

i take approximation.
since,we know that 1 radian =57.295
so, 57.295(-6)=-343.77

Answer 50

i have another question ;-
if centre of circle is \(\large \bf (\pi,e)\),then how many rational points will lie on circle ?

Answer 51

@Callisto and @dimensionx and @ganeshie8

Answer 52

last one !

Answer 53

Make a new post for a new question

Answer 54

okies

Answer 55

In radians
\[
\csc (-6)>\csc (1)>\csc (2)>\csc (4)
\]
In degrees
\[
\csc (1 {}^{\circ})>\csc (2
{}^{\circ})>\csc (4 {}^{\circ})>\csc
(-6 {}^{\circ})
\]