How many binary digits does it take to represent the decimal number 2013?
2 answers:
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Answer:
The angle is in the second quadrant.
Step-by-step explanation:
The cosecant of an angle is the same as the reciprocal of the sine of that angle. In other words, as long as ,
.
Therefore, is equivalent to
.
Consider a unit circle centered at the origin. If the terminal side of angle intersects the unit circle at point
, then
, and
.
For angle ,
, meaning that the intersection is to the left of the
-axis.
, meaning that the intersection is above the
-axis.
In other words, this intersection is above and to the left of the origin. That corresponds to second quadrant of the cartesian plane.
Answer:
see below
Step-by-step explanation:
The overbar on decimal digits means they repeat forever.
Any fraction with a denominator consisting of powers of 2 and/or 5 will terminate. These can be converted to decimal by multiplying the fraction by a number to make the denominator an appropriate power of ten.
1 2/3 = 1.66666666666... repeating
1 3/5 = 1 (3·2)/(5·2) = 1 6/10 = 1.6
1 1/4 = 1 (1·25)/(4·25) = 1 25/100 = 1.25
1 33/50 = 1 (33·2)/(50·2) = 1 66/100 = 1.66
Of course, your calculator can tell you the decimal equivalents, too.
