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Some Applications Of Trigonometry

Question

Write the simplest value of
$sinθ over cosecθ plus cosθ over secθ.$

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Solution

sinθ over cosecθ plus cosθ over secθ space equals space sinθ space times space fraction numerator 1 over denominator cosec space straight theta end fraction plus space cosθ. space 1 over secθ equals space sin squared straight theta space plus space cos squared straight theta space equals space 1.