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Most Important Selected Qs for JEE AdvancedMathematicsTrigonometry

Paragraph: While finding the sine of a contain angle x , an absent minded professor failed to notice that his calculator was not in the correct angular mode. However he was lucky to get right answer. The two least positive value of x for which the sine of x degree is the same as the sine of x radian found by him as m n- and p q+ , where m, n, p and q are positive integers. Suppose m n p q be denoted by quantity ' L '

Options

  1. A720
  2. B900
  3. C1080
  4. D1260

Correct answer

B. 900

Step-by-step solution

aligned & x= ( x) 180 x= ( - x 180 ) or (2 + x 180 ) & x= - x 180 , x=2 + x 180 & x= 180 180+ , x= 360 180- aligned On comparing, m=360, n=180, p=180, q=180 (m+n+p+q)=900

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