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AP EAMCET · Maths · Trigonometric Ratios & Identities

Find the value of \(\operatorname{cosec} 750^{\circ}-2\left(\cot 765^{\circ}\right)\)

  1. A 0
  2. B 1
  3. C 2
  4. D -1
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Correct Answer

(A) 0

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\(\operatorname{cosec} 750^{\circ}-2 \cot 765^{\circ}\) \(\begin{aligned} & =\operatorname{cosec}\left(720^{\circ}+30^{\circ}\right)-2 \cot \left(720^{\circ}+45^{\circ}\right) \\ & =\operatorname{cosec} 30^{\circ}-2 \cot 45^{\circ}=2-(2 \times 1)=2-2=0 \end{aligned}\) Hence,…