Values of sin and cos (rad and deg)

[knockout_artist]

Homework Statement

I am little confused. Value of used to be

sin(0) = 0 = cos(1)
sin(1) = 1 = cos(0)

Homework Equations

The Attempt at a Solution

Now when I use google calculator I use rad or degree I do not get solid 1 and 0.
for example
sin(0)= 0 deg =0rad
sin(1)= .841 deg = 0.017 rad
cos(0)= 0 deg = 0 rad
cos(1) = 0.54 deg = 099 rad

1-besides when when at the point when sin is zero should con not be one ? and vise versa ?
2-do the values of cosh and sinh also go zero and one on some point ?
3-what is good reliable way to check those values ?Thank you.

 

[Mark44]

Homework Statement

I am little confused. Value of used to be

sin(0) = 0 = cos(1)
sin(1) = 1 = cos(0)

?
Where did you see this?
sin(0) = 0, but cos(1) ≠ 0. Also is 1 in degrees or radians? Either way, cos(1) ≠ 0
Same problem with sin(1). Whether in degrees or radians, sin(1) ≠ 1.

Homework Equations

The Attempt at a Solution

Now when I use google calculator I use rad or degree I do not get solid 1 and 0.
for example
sin(0)= 0 deg =0rad
sin(1)= .841 deg = 0.017 rad

I have no idea what you're doing in the line above.
All of the trig functions produce numbers as their results. These numbers are not angle measures.

cos(0)= 0 deg = 0 rad
cos(1) = 0.54 deg = 099 rad

All of these are wrong.
sin(0) = 0, a number -- not in degrees or radians.
sin(1) is also a number

1-besides when when at the point when sin is zero should con not be one ? and vise versa ?
2-do the values of cosh and sinh also go zero and one on some point ?
3-what is good reliable way to check those values ?

$\sin(0) = 0$ true whether the input angle is degrees or radians
$\sin(\pi/2) = \sin(90°) = 1$ Here 1 is a pure number -- no degrees or radians.

For the sinh and cosh functions, look up their definitions. Wikipedia has a good discussion.

 

[Mark44]

sin(1°) ≈ .01745
sin(1 radian) ≈ .8415

 

[Merlin3189]

...Value of used to be

sin(0) = 0 = cos(1)
sin(1) = 1 = cos(0)
No. sin(0) = 0 and cos(0) =1, whatever you are measuring in - degrees, radians, turns, or anything else.

But sin(1) and cos(1) depend on what the 1 is.
sin(1 degree) is not the same as sin(1 radian) or sin(1 rightangle) which is what you are using.

Now when I use google calculator I use rad or degree I do not get solid 1 and 0.
I think you do, when you put the correct angle in
for example
sin(0)= 0 deg =0rad
Do you mean arcsin(0) = 0 deg and 0 rad and 0 turns and 0 rightangles? (Or invsin() or sin^-1 as you prefer)

sin(1)= .841 deg = 0.017 rad
That makes no sense, so you should not expect to get a sensible result.

sin(x) means the sine of angle x and the result is a number from -1 to +1
sin(x) does not give you an angle in degrees or radians, whatever you put in for x

cos(0)= 0 deg = 0 rad
cos(1) = 0.54 deg = 099 rad
Similarly for these.

When you use sin(angle) or cos(angle) you will get the right results.

If you want to find what angle gives sin=1 or sin=0 or cos=1 or cos=0 , you must do

arcsin(1)= or invsin(1)= or invcos(0)= or arccos(0)= etc

Sort that out and come back if you're still stuck.

 

[Gene Naden]

I don't see the problem statement. Can you please state the problem? Thanks.