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What will be the value of (sinx + cosecx)^2 + (cosx + secx)^2 ?(a) ≥ 0(b) ≤ 0(c) ≤ 1(d) ≥ 1I got this question in unit test.The above asked question is from Trigonometric Equations topic in division Trigonometric Functions of Mathematics – Class 11

Answer»

Correct OPTION is (a) ≥ 0

For EXPLANATION I would say: The GIVEN expression in LHS is,

sin^2x + cosec^2x + 2 + cos^2x + sec^2x + 2

4 + (sin^2x + cos^2x) +(1 + tan^2x) + (1 + cot^2x)

= 7 + (tan^2x + cot^2x)

= 7 + (TANX – cotx)^2 + 2 which is ≥ 0.



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