Question

sin(2arccos(1/4) - arcsin (-1/2))

Answer 1

arccos(1/4) = 1.318116
2arccos(1/4) = 2(1.318116) =
sin(2arccos(1/4) = .4841229

arcsin(-1/2) = -.523599

so
sin(2arccos(1/4) - arcsin (-1/2))
= .4841229 - (-.523599) = 1.00772

Answer 2

thanks

Answer 3

You are welcome.

Actually there is another answer you might consider

since the sine is negative in the 3rd and 4th quadrants (I used the 4th)
arcsin(-1/2) could also have been
pi + .523599 (in the 3rd quadrant)
= 3.66519

and another value at 2pi - .523599
= 5.759587

You will have to decide depending on what domain was given.

Answer 4

thanks again