Trigonometrical Equations 1 Question 18

18. The equation 2cos2⁡x2sin2⁡x=x2+x−2,x≤π9 has

(a) no real solution

(b) one real solution

(c) more than one real solution

(d) None of the above

Show Answer

Answer:

Correct Answer: 18. (a)

Solution:

  1. Given equation is 2cos2⁡x2sin2⁡x=x2+x−2,x≤π9

LHS =2cos2⁡x2sin2⁡x<2 and RHS =x2+1x2≥2

∴ The equation has no real solution.

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