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Maths-

General

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Question

$text Find the value of end text x text if end text x equals fraction numerator 1 minus 4 s i n invisible function application 10 to the power of ring operator end exponent s i n invisible function application 70 to the power of ring operator end exponent over denominator 2 s i n invisible function application 10 to the power of ring operator end exponent end fraction text . end text$

1
2
3
None of these

The correct answer is: 1

We have
$x equals fraction numerator 1 minus 4 s i n invisible function application 10 to the power of ring operator end exponent times s i n invisible function application 70 to the power of ring operator end exponent over denominator 2 s i n invisible function application 10 to the power of ring operator end exponent end fraction equals fraction numerator 1 minus 2 open parentheses s i n invisible function application 30 to the power of ring operator end exponent minus s i n invisible function application 10 to the power of ring operator end exponent close parentheses over denominator 2 s i n invisible function application 10 to the power of ring operator end exponent end fraction$
$equals fraction numerator 1 minus 1 plus 2 s i n invisible function application 10 to the power of ring operator end exponent over denominator 2 s i n invisible function application 10 to the power of alpha end exponent end fraction equals 1$

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$s i n invisible function application fraction numerator pi over denominator 9 end fraction s i n invisible function application fraction numerator 2 pi over denominator 9 end fraction s i n invisible function application fraction numerator 4 pi over denominator 9 end fraction s i n invisible function application fraction numerator pi over denominator 3 end fraction text is equal to end text$

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