First, calculate the absolute values of sin(4) and cos(13):
|sin(4)| = |0.06975647374| = 0.06975647374|cos(13)| = |0.97437006478| = 0.97437006478
Then, plug these values back into the original expression:
sin(4) + |sin(4)| + 2cos(13) - 2|cos(13)|= 0.06975647374 + 0.06975647374 + 2(0.97437006478) - 2(0.97437006478)= 0.13951294748 + 1.94874012956 - 1.94874012956= 0.13951294748
So, sin(4) + |sin(4)| + 2cos(13) - 2|cos(13)| is approximately equal to 0.13951294748.
First, calculate the absolute values of sin(4) and cos(13):
|sin(4)| = |0.06975647374| = 0.06975647374
|cos(13)| = |0.97437006478| = 0.97437006478
Then, plug these values back into the original expression:
sin(4) + |sin(4)| + 2cos(13) - 2|cos(13)|
= 0.06975647374 + 0.06975647374 + 2(0.97437006478) - 2(0.97437006478)
= 0.13951294748 + 1.94874012956 - 1.94874012956
= 0.13951294748
So, sin(4) + |sin(4)| + 2cos(13) - 2|cos(13)| is approximately equal to 0.13951294748.