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Solve: tan x = cot x(a) x = nπ/2 + (π/4)(b) x = nπ + (3π/4)(c) x = nπ + (π/4)(d) x = nπ/2 + (3π/4)The question was asked in an international level competition.I'm obligated to ask this question of Trigonometric Equations in chapter Trigonometric Functions of Mathematics – Class 11

Answer»

Right ANSWER is (a) x = nπ/2 + (π/4)

The best explanation: tan x = COT x

tan x = cot (π/2 – x)

x = nπ + (π/2 – x)

2X = nπ + (π/2)

x = nπ/2 + (π/4).



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