Mathematics, 17.02.2020 01:40 130005401
Find the EXACT value of sin(A−B) if cos A = 3/5 where A is in Quadrant IV and cos B = 12/13 where B is in Quadrant IV. Assume all angles are measured from standard position. sin(A−B) =
Answers: 3
![\bf cos(A)=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}\qquad \qquad \stackrel{\textit{getting the opposite side}}{b=\pm\sqrt{5^2-3^2}}\implies b = \pm 4 \\\\\\ \stackrel{IV~Quadrant}{b = -4}\qquad \qquad sin(A)=\cfrac{\stackrel{opposite}{-4}}{\underset{hypotenuse}{5}} \\\\[-0.35em] ~\dotfill\\\\ cos(B)=\cfrac{\stackrel{adjacent}{12}}{\underset{hypotenuse}{13}}\qquad \qquad \stackrel{\textit{getting the opposite side}}{b=\pm\sqrt{13^2-12^2}}\implies b = \pm 5](/tpl/images/0512/8173/4d39a.png)
![\bf \stackrel{IV~Quadrant}{b = -5}\qquad \qquad sin(B)=\cfrac{\stackrel{opposite}{-5}}{\underset{hypotenuse}{13}} \\\\[-0.35em] ~\dotfill\\\\ sin(A-B)=\cfrac{-4}{5}\cdot \cfrac{12}{13}-\left( \cfrac{3}{5}\cdot \cfrac{-5}{13} \right)\implies sin(A-B)=\cfrac{-48}{65} - \left( \cfrac{-15}{65} \right) \\\\\\ sin(A-B)=\cfrac{-48}{65} + \cfrac{15}{65}\implies sin(A-B)=\cfrac{-33}{65}](/tpl/images/0512/8173/aaea5.png)
Another question on Mathematics
Mathematics, 21.06.2019 14:30
An an average person has 6×10 by the power of two as many red blood cells as white blood cells a small sample of the blood has 7×10 by the power of three white blood cells about how many red blood cells are in the sample
Answers: 1
Mathematics, 21.06.2019 18:30
Find the area of the regular hexagon if a side is 20 cm.
Answers: 2
Mathematics, 21.06.2019 20:00
Frank owns a $141,000 home, for which he has a 30-year mortgage in the amount of $700 a month. once he has paid off mortgage, how much will he have paid in investment? a. $111,000 b. $109,000 c. $120,000 d. $141,000
Answers: 1
You know the right answer?
Find the EXACT value of sin(A−B) if cos A = 3/5 where A is in Quadrant IV and cos B = 12/13 where B...
Questions
Physics, 21.05.2020 05:05
Mathematics, 21.05.2020 05:05
Mathematics, 21.05.2020 05:05
Mathematics, 21.05.2020 05:05
Health, 21.05.2020 05:05
Mathematics, 21.05.2020 05:05
Computers and Technology, 21.05.2020 05:05
Mathematics, 21.05.2020 05:05
Mathematics, 21.05.2020 05:05
Mathematics, 21.05.2020 05:05
