Math, asked by mimansapanchal07, 8 hours ago

sin30⁰/sin45⁰+tan45⁰/cos60⁰ - cot²45⁰/cot²60⁰
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Answers

Answered by ItzMeMukku
1

\rm\sf\color{red}{here\:It\:goes} \large\downarrow

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\begin{gathered} \frac{ \sin(30) }{ \sin(45) } + \frac{ \tan(45) }{ \sec(60) } - \frac{ \sin(60) }{ \cot(45) } - \frac{ \cos(30) }{ \sin(90) } \\ = \frac{ \frac{1}{2} }{ \frac{1}{ \sqrt{2} } } + \frac{1}{2} - \frac{ \frac{ \sqrt{3} }{2} }{1} - \frac{ \frac{ \sqrt{3} }{2} }{1} \\ = \frac{ \sqrt{2} }{2} + \frac{1}{2} - 2 \times \frac{ \sqrt{3} }{2} \\ = \frac{ \sqrt{2} + 1 - 2 \sqrt{3} }{2} \end{gathered}

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