How can i solve this problem with out a calculator

[ladyazpy]

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

 

[daon]

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^-1(1/4)
x = (1/2)(cos^-1(1/4) + 3)

 

[tkhunny]

also how can i evaluate the value of x
in this prob?

2 cos (2x-3) = 1/2

Please don't post the same problem, particularly not without providing an example of progress you may have made, either in the solution or in answering the questions you were asked previously.