A) \[\frac{1}{\sqrt{3}}\]
B) \[\sqrt{3}\]
C) \[\frac{1}{2}\]
D) 1
Correct Answer: B
Solution :
Expression\[=\frac{\sin 70{}^\circ +\cos 40{}^\circ }{\cos 70{}^\circ +\sin 40{}^\circ }\] \[=\frac{\cos 20{}^\circ +\cos 40{}^\circ }{\sin 20{}^\circ +sin40{}^\circ }\] \[=\frac{2\cos 30{}^\circ \cos 10{}^\circ }{2\sin 30{}^\circ \cos 10{}^\circ }\] \[=\cot 30{}^\circ =\sqrt{3}\]
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