[-5cos(180)-3sin(180)]-[-5cos(90)-3sin(90)]

asked by guest
on Dec 28, 2024 at 11:00 am



You asked:

Evaluate the expression: −(5cos⁡(180))−3sin⁡(180)−(−(5cos⁡(90))−3sin⁡(90))-\left( 5 \cos\left( 180 \right) \right) - 3 \sin\left( 180 \right) - \left(-\left( 5 \cos\left( 90 \right) \right) - 3 \sin\left( 90 \right)\right)

MathBot Answer:

−(5cos⁡(180))−3sin⁡(180)−(−(5cos⁡(90))−3sin⁡(90))=5cos⁡(90)−3sin⁡(180)+3sin⁡(90)−5cos⁡(180)≈5.83738016264660503780735851147589-\left( 5 \cos\left( 180 \right) \right) - 3 \sin\left( 180 \right) - \left(-\left( 5 \cos\left( 90 \right) \right) - 3 \sin\left( 90 \right)\right) = 5 \cos{\left(90 \right)} - 3 \sin{\left(180 \right)} + 3 \sin{\left(90 \right)} - 5 \cos{\left(180 \right)} \approx 5.83738016264660503780735851147589

−(5cos⁡(180))−3sin⁡(180)−(−(5cos⁡(90))−3sin⁡(90))=−5⋅cos⁡(180)−3⋅sin⁡(180)−(−5⋅cos⁡(90)−3⋅sin⁡(90))=−5⋅cos⁡(180)−3⋅sin⁡(180)−(−5⋅cos⁡(90)−3⋅sin⁡(90))=−5⋅cos⁡(180)−3⋅sin⁡(180)−(−5⋅cos⁡(90)−3⋅sin⁡(90))=−5⋅cos⁡(180)−3⋅sin⁡(180)+(3⋅sin⁡(90)+5⋅cos⁡(90))=(−5⋅cos⁡(180)−3⋅sin⁡(180))+(3⋅sin⁡(90)+5⋅cos⁡(90))=−5⋅cos⁡(180)−3⋅sin⁡(180)+3⋅sin⁡(90)+5⋅cos⁡(90)\begin{aligned}-\left( 5 \cos\left( 180 \right) \right) - 3 \sin\left( 180 \right) - \left(-\left( 5 \cos\left( 90 \right) \right) - 3 \sin\left( 90 \right)\right)&=- 5 \cdot \cos{\left(180 \right)} - 3 \cdot \sin{\left(180 \right)} - \left(- 5 \cdot \cos{\left(90 \right)} - 3 \cdot \sin{\left(90 \right)}\right)\\&=-5 \cdot \cos{\left(180 \right)} - 3 \cdot \sin{\left(180 \right)} - \left(- 5 \cdot \cos{\left(90 \right)} - 3 \cdot \sin{\left(90 \right)}\right)\\&=-5 \cdot \cos{\left(180 \right)} - 3 \cdot \sin{\left(180 \right)} - \left(-5 \cdot \cos{\left(90 \right)} - 3 \cdot \sin{\left(90 \right)}\right)\\&=-5 \cdot \cos{\left(180 \right)} - 3 \cdot \sin{\left(180 \right)} + \left(3 \cdot \sin{\left(90 \right)} + 5 \cdot \cos{\left(90 \right)}\right)\\&=\left(-5 \cdot \cos{\left(180 \right)} - 3 \cdot \sin{\left(180 \right)}\right) + \left(3 \cdot \sin{\left(90 \right)} + 5 \cdot \cos{\left(90 \right)}\right)\\&=-5 \cdot \cos{\left(180 \right)} - 3 \cdot \sin{\left(180 \right)} + 3 \cdot \sin{\left(90 \right)} + 5 \cdot \cos{\left(90 \right)}\end{aligned}

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