Math Question, please help! Please show your work so I know how you got your answer and thanks in advance! :)

Mathematics

1 answer:

AlexFokin [52]3 years ago

7 0

Well look at seniors.. the first section has the number 16 for morning classes so take 16, add all the numbers together...
16+15+7=38
so the fraction is 16/38
convert that to a decimal.. which is 0.42.1052632, and etc...
so, therefore, your answer would be
0.421:)

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Find the exact value of the trigonometric function given that sinU=-7/25 and cosV=-4/5 (Both U and V are in Quadrant III)

Contact [7]

cosU:-

$\\ \rm\longmapsto \sqrt{1-sin^2U}=\sqrt{1-49/625}=24/25$

As U lies in Q3

cosU=-24/25

sinV

$\\ \rm\longmapsto \sqrt{1-cos^2V}=\sqrt{1-16/25}=3/4$

As V lies in Q3

sinV=-3/5

sin(V-U)=sinVcosU-cosVsinU=(-3/5)(-24/25)-(-4/5)(-7/25)=72/125-28/125=72-28/125=44/125
cos(U-V)=cosUcosV+sinUsinV=(-24/25)(-4/5)+(-7/25)(-3/5)=96/125+21/125=117/125