Mathematics - Trigonometric Equation Question with Solution | TestHub

MathematicsTrigonometric EquationTrigonometric EquationHard3 minQB

MathematicsHardsingle choice

Find the sum of all solutions of $sin^{2} θ tan θ + cos^{2} θ cot θ - sin 2 θ = 1 + tan θ + cot θ$ for $0 \leq θ \leq π$ , where defined.

Answer:

Solution:

The reduction gives $sin 2 θ = 0$ or $- 1/2$ . Valid values are $0, 7 π /12, 11 π /12$ ; their sum is $3 π /2$ .

Stream:JEESubject:MathematicsTopic:Trigonometric EquationSubtopic:Trigonometric Equation

⏱ 3mℹ️ Source: QB

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