TRIG: convert the measure from degrees to radians. round to 4 decimal places?

Question

-33degrees 45'.......... i got the answer -0.562868683 which rounds to -0.5629. But the answer in the back of the book is -0.5890.....i dont understand how they got that answer. can anyone help me with this problem


Thanks to everyone :)

Answer 1

The book is right. 33 + 45/60 = 33.75
-33.75 * π/180 = -0.589048...

Answer 2

a million). the attitude this is coterminal with that of -1045 levels is -325 levels. Angles that proportion the comparable preliminary facet and terminal facet are noted as or noted as "coterminal" angles. -1045 levels ( a clockwise rotation ) approximately -2.9 or thrice for its rotational fee to be measured. 2). by ability of including 35 levels 40 4 minutes fifty two seconds with seventy 5 levels 32 minutes and 19 seconds we've 111 levels 17 minutes and 11 seconds. this is resembling 111.3 levels to the closest 10th of a diploma. 3). Upon changing levels to radians, 210 levels is 7 situations pi divided by ability of 6. 210 levels tmes pi divided by ability of a hundred and eighty levels = 7 situations pi divided by ability of 6. 4). The given attitude is 340 levels. a = the reference attitude that we ought to discover. a = 360 levels - 340 levels = 20 levels. 5). the attitude this is quadrantal is the attitude of 630 levels. 630 levels equates to 7 situations pi divided by ability of two. 630 levels - 360 levels = 270 levels, this is coterminal with 630 levels. utilising the unit circle, we've: sin (630 levels) = sin (270 levels) = y = -a million cos (630 levels) = cos (270 levels) = x = 0 the factor on the unit circle is (0, -a million), 270 levels in radians is thrice pi divided by ability of two. 6). The given attitude 2863 levels is placed in the 4th quadrent. sin (2863 levels) = - 0.2924 cos (2863 levels) = 0.9563 tan (2863 levels) = -0.3057 7). The circumference of the crcle is given by ability of C = 2 situations pi situations the radius of the circle. utilising the unit circle the place the radius r = a million, we've: C = 2 ( 3.1416 ) * a million = 6.2832 radians * 20 turns = a hundred twenty five.664 radians = a hundred twenty five,7 radians.

Answer 3

The book is ok
you have -(33*60+45)=-2025 ´
2pi rad are 360*60 ´
so -2025 ´are -2pi*2025/360*60 = -0.5890 rad

Answer 4

1 degree= pi/180 radians
so -33deg 45'=-33.75deg = -33.75*pi/180 radians = -0.5890