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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) sin(V-U) cos(U-V)
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May 26, 2023
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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)
sin(V-U)
cos(U-V)
Mathematics
college
Grokking
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cosU:-
As U lies in Q3
cosU=-24/25
sinV
As V lies in Q3
sinV=-3/5
So
sin(V-U)=sinVcosU-cosVsinU=(-3/5)(-24/25)-(-4/5)(-7/25)=72/125-28/125=72-28/125=
4
4
/
1
2
5
cos(U-V)=cosUcosV+sinUsinV=(-24/25)(-4/5)+(-7/25)(-3/5)=96/125+21/125=117/125
Alexpiers
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May 31, 2023
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Alexpiers
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