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hi If you round off at each step to the nearest 0.001, roundoff error will build

ID: 3373011 • Letter: H

Question

hi


If you round off at each step to the nearest 0.001, roundoff error will build up and your answers will soon no longer be accurate to the stated tolerance (and will be marked wrong). Carry out all computations to the nearest .000001 (or closer) and only round when entering your final answers. Express 15 degree as an exact radian measure (as a fraction of n in lowest terms). An angle theta has radian measure 7n/12 (7 *pi/12). Express the measure of the angle theta in degrees: You must write your answers as rational numbers or as the rational multiple of a sqrt() of a rational number. You must enter a half as 1/2 and not 0.5. If the answer to a problem is undefined (for example, tan(90 degree) = l/0 is undefined), enter Und. You must write your answers as rational numbers or as the rational multiple of a sqrt() of a rational number. You must enter a half as 1/2 and not 0.5. If the answer to a problem is undefined (for example, tan(90 degree) = -1/0 is undefined), enter Und. Find all values of 0 in radians with -2n

Explanation / Answer

1) 15 degree = 15* pie/180 = pie/12

2) 7pie/12 = 7*180/12 = 135

3) tan -5pi/6) = tan( -pie + pie/6)= 1/sqrt3

4) sin(-2pi) = 0

5) theta = sin-1(sqrt 3)/2 = 60 degree, 120 degree or pie/3, 2pie/3

6) theta = sin-1-(sqrt 3)/2 = 240, 320 degree