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State if the given angles are coterminal...

State if the given angles are coterminal. (i) `alpha=185^0,beta=-545^0` (ii) `alpha=(17pi)/(36),beta(161pi)/(36)`

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If the three points (a,b), (a+kcosalpha,b+ksinalpha)and(a+kcosbeta,b+ksinbeta) are the vertices of an equilateral triangle , then which of the following is true and why ? (i) |alpha-beta|=(pi)/(4) , (ii) |alpha-beta|=(pi)/(2) (iii) |alpha-beta|=(pi)/(6) , (iv) |alpha-beta|=(pi)/(3)

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