Question
Download Solution PDF\(\frac{{\sin 30^\circ }}{{1 + \;cos30^\circ }} + \frac{{1 + {\rm{\;cos}}30^\circ }}{{sin30^\circ }} = \;?\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF\(\frac{{\sin 30^\circ }}{{1 + \;cos30^\circ }} + \frac{{1 + {\rm{\;cos}}30^\circ }}{{sin30^\circ }} = \;?\)
⇒ ? = (1/2) / (1 + √3/2) + (1 + √3/2) / (1/2)
⇒ ? = 1/(2 + √3) + (2 + √3)
⇒ ? = (1 + (2 + √3)2) / (2 + √3)
⇒ ? = (1 + 4 + 3 + 4√3) / (2 + √3)
⇒ ? = (8 + 4√3) / (2 + √3)
⇒ ? = 4(2 + √3) / (2 + √3)
⇒ ? = 4
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