Question

Cos 60* + sin 45* - cot 30* / tan 60* + sec 45* - cosec 45* find the value

Answer 1

QUESTION:
$\cos(60) + \sin(45) - \frac{ \cot(30) }{ \tan(60) } + \sec(45) - \csc(45) \\ \\ = \cos(60) + \sin( 45) - \frac{ \cot(30) }{ \tan(90 - 30) } + \sec(45) - \csc( 45) \\ = \frac{1}{2} + \frac{1}{ \sqrt{2} } - \frac{ \cot(30) }{ \cot(30) } + \sqrt{2} - \sqrt{2} \\ = \frac{ \sqrt{2 } + 2 }{2 \sqrt{2} } - 1 + 0 \\ \\ = \frac{ \sqrt{2} + 2}{2 \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } \\ \\ = \frac{2 + 2 \sqrt{2} }{4} \\ = \frac{2(1 + \sqrt{2} )}{4} \\ \\ = \frac{1 + \sqrt{2} }{2}$
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Answer 2

answer is 1+√2/2

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