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If the equation $\cot^{4} x - 2 \cos e c^{2} x + a^{2} = 0$ has at least one solution then, sum of all possible integral values of ‘a’ is equal to

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Correct option is D

We have cot4x−2cosec2x+a2=0⇒cot4x−21+cot2x+a2=0⇒cot4x−2cot2x+a2−2=0⇒cot2x−12=3−a2To have at least one solution 3−a2≥0⇒a2−3≤0a∈−3,3⇒a=−1,0,1∴sum of all values of ‘a’ = 0

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If the equation cot4x−2cosec2x+a2=0 has at least one solution then, sum of all possible integral values of ‘a’ is equal to

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Ready to Test Your Skills?

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If the equation $\cot^{4} x - 2 \cos e c^{2} x + a^{2} = 0$ has at least one solution then, sum of all possible integral values of ‘a’ is equal to