how can you use the inverse trigonometrical function on calculator to find the value of x in degree for which sinx = -0.4
The arcsin(x), arcsos(x), and arctan(x) functions on a calculator have been designed and programmed to give you the nearest angle to zero.
So if x > 0, no problem, you get the angle in the first quadrant, but if x< 0 both the arcsin and the arctan will give you the negative angle closest to zero.
BTW, to get the arcsin differs from one calculator to another, on mine to do the above I do ..
2nd F
sin
.4
±
=
and get -23.578...
so to get the correct angles I have to know the CAST rule, that is, I have to know where the different trig functions are positive and negative.
I know the sine is negative in III and IV
for III : angle = 180° + |-23.578| = 204.578°
for IV : angle = 360° - |-23.578| = 335.422°
why exponential model would be more suitable than a linear model. Thanks.
To use the inverse trigonometric function on a calculator to find the value of x in degrees for which sin(x) = -0.4, you can follow these steps:
1. Turn on your calculator and make sure it is on degree mode. Most calculators have a mode button for this, usually denoted as "Deg" or "°".
2. Look for the inverse sine function key on your calculator. It is usually denoted as "sin^(-1)", "asin", or "sin⁻¹". Press this key.
3. Enter the value -0.4 after pressing the inverse sine function key, and press the equals (=) button.
4. The calculator will display the angle in radians at which sin(x) equals -0.4. To convert this to degrees, you can multiply the radian value by 180 and divide by π (pi). Alternatively, some calculators have a "deg" or "°" button that can be pressed to directly convert the result to degrees.
5. Round the degree value to the desired number of decimal places based on the accuracy required.
By following these steps, you should be able to use the inverse trigonometric function on a calculator to find the value of x in degrees for which sin(x) = -0.4.