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Decimal representations of some basic angles: As a last quick topic let's note that it will, on occasion, be useful to remember the decimal representations of some basic angles. So following they are,
π/2= 1.5708 π= 3.1416 3π/2 =4.7124 2π = 6.2832
By using these we can rapidly see that cos-1( 3/4)have to be in the first quadrant since 0.7227 is among 0 and 1.5708. It will be of great help while we go to find out the remaining angles
Hence, once again, we can't stress sufficient that calculators are significant tools which can be of tremendous help to us, however it you don't understand how they work you will frequently get the answers to problems wrong.
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sin10+sin20+sin30+....+sin360=0 sin10+sin20+sin30+sin40+...sin180+sin(360-170)+......+sin(360-40)+sin(360-30)+sin(360-20)+sin360-10)+sin360 sin360-x=-sinx hence all terms cancel
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Mod(Z-25i) Sol) mod (Z-25i) means Z lies in the circumference of the circle with (0,25) at its centre and radius less then 15. so difference in the max and min value of arg Z is
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