A Trig Fraction Range

★ 7/10functionstrigonometryParametrizationSubstitution

Problem

Find the range of the function

f(x)=3+5sin⁡x5+4cos⁡x+3sin⁡x.f(x) = \frac{3 + 5\sin x}{\sqrt{5 + 4\cos x + 3\sin x}}.

Answer

Solution

Difficulty7/10
Topicsfunctions, trigonometry, Parametrization, Substitution

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