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Find the principal solutions of the equation cosec x=2.(a) π/6, 5π/6(b) π/6, 7π/6(c) 5π/6, 11π/6(d) 5π/6, 7π/6The question was asked in an interview for job.I would like to ask this question from Trigonometric Equations topic in portion Trigonometric Functions of Mathematics – Class 11

Answer»

The CORRECT OPTION is (a) π/6, 5π/6

Easiest EXPLANATION: Since cosec x is POSITIVE in 1^st and 2^nd quadrant, so there are two principal solutions to above equation i.e. π/6, π – π/6. So, x=π/6, 5π/6.



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