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log(sinx)=-.49928 find x? the answer is 18 degree 28 minutes what should i do to get the answer in this format? also if I get inverse sine then inverse log I wont get the right answer?

 Jun 20, 2016
 #1
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log10( sin(x) )  =  -0.49928

Write into exponential form:  sin(x)  =  10-0.49928 

                                   --->     sin(x)  =  0.3167524626

Find  sin-1(x)              --->            x   =  sin-1( 0.3167524626 )

                                  --->            x   =  18.46664082

 

Converting the decimal  0.46664082 into minutes  --->   0.46664082 x 60  =  27.9984492   --->   28

 

So:  x  =  18° 28'

 Jun 20, 2016

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