Question

Write down the following in order of size,smallest first.
cos100 sin100 tan100

Answer 1

use a calculator

Answer 2

I hope that 100 here is in radians

Answer 3

cos(100) would be the largest as 100 radians lies in 4th quadrant and the only +ve function among all.

Answer 4

|sin(100)| < |tan(100)| but since both are negative. So,

sin(100) > tan(100)

Answer 5

Thus, my preliminary answer would be:

cos(100)>sin(100)>tan(100)

And great I am correct

Answer 6

I am actually surprised :D

Answer 7

I believe 100 is in degree

Answer 8

cos 100 degree is less than 0

Answer 9

sin 100 is just under 1

Answer 10

tan 100 is almost - infinity

Answer 11

so tan 100<<cos100<sin100

Answer 12

But usually in a question if degree symbol is not used then it is assumed that the angle is in radians.

After all, SI Unit is radians not degrees.

Answer 13

but for this case if it is in degree the sizes can be guessed. If it is in radians then we need to consult the calculator. I believe the question calls for understanding of the behaviour of the cos, sin and tan curves.

Answer 14

well even if it is in radians you can solve it without using calculator... except for division and multplication

Answer 15

ok thanks

Answer 16

@sheelo_mughal listen i am going to tell one thing which surprise u

Answer 17

listen sine function is increase from 0 to 90 and cos function decrease 0 to 90 and tan function also increase from 0 to 90 u can do it on yur calculator or from the trigonometric function
like sin 30 = 0.5
sin 45 = 0.70
sin 60 = 0.866
sin 90 = 1
here it is showing that function is increasing

so now u can
u can found that
first
cos 100 will come first then sin and after it tan will come

Answer 18

@Haseeb96 , are you assuming the angles to be radian or in degrees ?

Answer 19

yes

Answer 20

radians ?

Answer 21

no degrees

Answer 22

Then sorry but cos(100) would not be maximum

Answer 23

As it will be negative and sin(100) would be positive

Answer 24

So, sin(100 degrees) > cos(100 degrees)

Answer 25

Correct order would be:

tan(100 deg) < cos(100 deg) < sin(100 deg)

Answer 26

The overall answer is:

\[\large{\boxed{\tan(100^\circ) < \cos(100^\circ) < \sin(100^\circ)}}\]

and

\[\large{\boxed{\cos(100)>\sin(100)>\tan(100)}}\]

Answer 27

Verified using calculator ^^^