sinL=6/7
L(alfa)=?
If sin(α)=x, then
α
=sin-1x (arcsin(x))
If you have to evaluate the value of sin-1(6/7) on the calculator, use the key combination [inv][sin], or [2nd][sin]. This should work on most calculators.
I get
sin-1(6/7)=1 radian or 59 degrees, approximately.
2X(SIN
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To find the value of L(alfa), we need to solve for alfa in the equation sin(L) = 6/7.
To solve for alfa, we can use the inverse sine function (also known as arcsin or sin^(-1)). The inverse sine function undoes the effect of the sine function and returns the angle whose sine is the given value.
So, we have sin(L) = 6/7. To find alfa, we take the inverse sine of both sides:
sin^(-1)(sin(L)) = sin^(-1)(6/7)
Now, the inverse sine function and the sine function cancel each other out, leaving us with:
L = sin^(-1)(6/7)
Using a calculator or online tool that supports inverse trigonometric functions, we can substitute the value of sin^(-1)(6/7) to find L(alfa).
It is important to note that the inverse sine function only returns one solution. However, since sine is periodic, there are infinitely many solutions for alfa. The value returned by the inverse sine function will be one of the solutions, typically referred to as the principal value.