Youtor
costan1u
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cos(tan^-1(u)) • Question: cos(tan⁻¹(u)) • Answer: • To find cos(tan⁻¹(u)), we can use the right triangle definition of the inverse tangent function. • 1. Let θ = tan⁻¹(u). This means that: • tan(θ) = u = opposite/adjacent. • 2. We can represent this in a right triangle: • Opposite side = u • Adjacent side = 1 • 3. Using the Pythagorean theorem, the hypotenuse h is: • h = √(u² + 1²) = √(u² + 1). • 4. Now, we can find cos(θ): • cos(θ) = adjacent/hypotenuse = 1/√(u² + 1). • Thus: • cos(tan⁻¹(u)) = 1/√(u² + 1). • #mathtutorial #learnmath #math #trigonometry #trigonometriclimits
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