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)