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Maths-

General

Easy

Question

If $alpha comma beta comma gamma$ do not differ by a multiple of $straight pi$ and if $fraction numerator cos space left parenthesis alpha plus theta right parenthesis over denominator sin space left parenthesis beta plus gamma right parenthesis end fraction equals fraction numerator cos begin display style space end style left parenthesis beta plus theta right parenthesis over denominator sin begin display style space end style left parenthesis gamma plus alpha right parenthesis end fraction equals fraction numerator cos begin display style space end style left parenthesis gamma plus theta right parenthesis over denominator sin begin display style space end style left parenthesis alpha plus beta right parenthesis end fraction equals k$ Then k equals

$\pm 2$
$\pm \frac{1}{2}$
0
$\pm 1$

The correct answer is: $plus-or-minus 1$

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