(a) sin x if x = (1/4)degree
Round all answers to three decimal places
I got 12.053, 0.210, 4.363.. None of those seem to be right. What am I doing wrong? am i just punching the numbers in my calculator incorrectly?
my keystrokes on my calculator:
2nd
sin
.25
=
to get 14.478°
but the sine is positive in I and II
so x could also be 180 - 14.478 = 165.522°
there are an infinite number of solutions, just add/subtract 360° to any existing answer to produce more.
who said anything about sin-1 ?
for keeping an eye on me.
I just have to read more carefully, I read it as
sinx = 1/4
To find the value of sin(x), you need to make sure your calculator is in the correct angle mode (degrees or radians).
In this case, x = (1/4) degree. To enter this value correctly in your calculator, first convert it into degrees or radians depending on your calculator's angle mode.
If your calculator is in degrees mode, it means that you enter and calculate angles using degrees. Since x is given in terms of degrees, you can directly enter 1/4 into your calculator without any conversion.
If your calculator is in radians mode, you need to convert the angle from degrees to radians. There are 360 degrees in a full circle, so to convert from degrees to radians, you use the formula:
angle in radians = (angle in degrees) * (π/180)
In this case, x = (1/4) degree, so the equivalent in radians is:
x in radians = (1/4) * (π/180) ≈ 0.004363 radians
Now that you have the correct value for x, you can calculate sin(x). Make sure your calculator is in the correct angle mode (degrees or radians), and enter the value of x into the sin function:
sin(x) = sin(0.004363)
Finally, round the answer to three decimal places.