Trigonometric functions, periodicity and graphs; addition and subtraction formulae; multiple and sub-multiple angles; general solution of trigonometric equations; inverse trigonometric functions (principal value only) and their elementary properties.
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Q1 · Trigonometry · MEDIUM
Let α and β be two angles in the interval [0, 2π] such that sin(2α) + sin(2β) = 1 and cos(2α) + cos(2β) = 0. The number of ordered pairs (α, β) satisfying these conditions is
Q2 · Trigonometry · EASY
If tan⁻¹(1/4) + tan⁻¹(2/9) = tan⁻¹(x), then x equals