ladyazpy said:
Sin ^-1 (sqr 3 / 2) with out a calculator
when i plug this on my calculator i get this ans. 1.047
could you please show me the steps on solving this prob....
also how can i evaluate the value of x
in this prob?
2 cos (2x-3) = 1/2
\(\displaystyle x = sin^{-1}\frac{\sqrt{3}}{2}
\\
sin(x) = \frac{\sqrt{3}}{2}\)
Use your table of important values from here.
2nd, 2cos(2x-3) = 1/2
cos(2x-3) = 1/4
2x-3 = cos<sup>-1</sup>(1/4)
x = (1/2)(cos<sup>-1</sup>(1/4) + 3)