First slide
Trigonometric equations
Question

If the equation cot4x2cosec2x+a2=0 has at least one  solution, then the sum of all possible integral values of a is equal to

Moderate
Solution

cot4x21+cot2x+a2=0 or  cot4x2cot2x+a22=0 or  cot2x12=3a2

To have at least one solution 3a20

a230a[3,3]

Integral values are -1, 0, 1; therefore, the sum is 0. 

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