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Find the principal solutions of the equation sin x = -1/√2.(a) π/4, 3π/4(b) 3π/4, 5π/4(c) 3π/4, 7π/4(d) 5π/4, 7π/4This question was addressed to me during an interview for a job.My question is based upon Trigonometric Equations in portion Trigonometric Functions of Mathematics – Class 11

Answer»

Correct choice is (d) 5π/4, 7π/4

For EXPLANATION: Since sin X is NEGATIVE in 3^rd and 4^th quadrant so, there are two PRINCIPAL solutions to above EQUATION i.e. x = 2π – π/4, 2π + π/4. So, x=5π/4, 7π/4.



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