How can i solve this problem with out a calculator

ladyazpy

New member
Joined
Mar 1, 2005
Messages
31
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

Senior Member
Joined
Jan 27, 2006
Messages
1,284
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)
 

tkhunny

Moderator
Staff member
Joined
Apr 12, 2005
Messages
10,029
ladyazpy said:
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.
 
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