Let λ 1 , λ 2 ∈ [ 0 , π ] solve csc ( π /4 + x ) + csc ( π /4 − x ) = 2 2 . Find 8 ( sin 2 λ 1 + sin 2 λ 2 ) .

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MathematicsTrigonometric EquationTrigonometric EquationHard3 minQB

MathematicsHardinteger

Let $λ_{1}, λ_{2} \in [0, π]$ solve $csc (π /4 + x) + csc (π /4 - x) = 22$ . Find $8 (sin^{2} λ_{1} + sin^{2} λ_{2})$ .

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Solution:

Simplification gives $cos x = 1$ or $- 1/2$ . Thus the two solutions are 0 and $2 π /3$ , giving $8 (0 + 3/4) = 6$ . Parser sentinel - exclude this record before import

Stream:JEESubject:MathematicsTopic:Trigonometric EquationSubtopic:Trigonometric Equation

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