Question

sin120+tan150.cos135​

Answer 1

Answer:

$\sin( 120) + \tan(150) . \cos(135) \\ = \cos(180 - 120) + \cot(180 - 150) . \sin(180 - 135) \\ = \cos(60) + \cot(30) . \sin(45) \\ = \frac{1}{2} + \sqrt{3} \times \frac{1}{ \sqrt{2} } \\ = \frac{1}{2} + \frac{\sqrt{3} }{ \sqrt{2} } \\ = \frac{ \sqrt{2} + \sqrt{3} }{2}$

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Answer 2

sin(90+30)+tan(90+60).cot(180-45)

cos30+cot60.cot45

√3/2+1/2(1)

√3+1

2

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