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Maths-

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Question

$I f sin to the power of negative 1 end exponent invisible function application a plus sin to the power of negative 1 end exponent invisible function application b plus sin to the power of negative 1 end exponent invisible function application c equals pi$ , then $blank a square root of 1 minus a to the power of 2 end exponent end root plus b square root of 1 minus b to the power of 2 end exponent end root plus c square root of 1 minus c to the power of 2 end exponent end root$ is equal to

$a + b + c$
$a^{2} b^{2} c^{2}$
$2 a b c$
$4 a b c$

The correct answer is: $2 a b c$

$L e t blank A equals sin to the power of negative 1 end exponent invisible function application a comma blank B equals s i n to the power of negative 1 end exponent b blank a n d blank C equals sin to the power of negative 1 end exponent invisible function application c comma blank w e blank h a v e blank A plus B plus C equals pi.$
$a square root of 1 minus a to the power of 2 end exponent end root plus b square root of 1 minus b to the power of 2 end exponent end root plus c square root of 1 minus c to the power of 2 end exponent end root equals fraction numerator 1 over denominator 2 end fraction open parentheses sin invisible function application 2 A plus sin invisible function application 2 B plus sin invisible function application 2 C close parentheses$
$equals fraction numerator 1 over denominator 2 end fraction open square brackets 4 sin invisible function application A sin invisible function application B sin invisible function application C close square brackets$
$equals 2 blank a b c$

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