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Complementary Trigonometric Ratios

Find the valu...

Question

Find the value of $cosec (- 1170)$

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Solution

$c o s e c ({- 1170}^{0})$
$= c o s e c (1440 - 1170)$ As $c o s e c (4 π - θ) = c o s e c θ$
$= c o s e c (270^{0}) = - 1$

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