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Find general solution to equation cos x = – 1/√2.(a) x = 2nπ±7π/4(b) x = 2nπ±3π/4(c) x = 2nπ±π/4(d) x = 2nπ±π/3I have been asked this question in a job interview.My query is from Trigonometric Equations topic in chapter Trigonometric Functions of Mathematics – Class 11

Answer»

Correct option is (c) X = 2nπ±π/4

The BEST EXPLANATION: cos x = – 1/√2

cos x = – cos π/4 = cos (π- π/4) = cos 3π/4

So, x = 2nπ±π/4.



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