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Answered

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PLEASE HELP ME ASAP
Match the trigonometric ratios with their values based on the triangle shown in the diagram.

PLEASE HELP ME ASAP Match The Trigonometric Ratios With Their Values Based On The Triangle Shown In The Diagram class=
PLEASE HELP ME ASAP Match The Trigonometric Ratios With Their Values Based On The Triangle Shown In The Diagram class=

Sagot :

ANSWER:
12/25 = sinD*CosD
3/5 = SinD
16/15 = CosC*tanD
4/5 = tanC*tanD
STEP BY STEP EXPLANATION:
Finding the angles
Finding angle BCD
Sin(90)/5=Sin(BCD)/3
3sin(90)=5Sin(BCD)
3sin(90)/5=Sin(BCD)
sin^-1(3sin(90)/5) = /BCD
36.86989765 degrees = /C
Finding angle /CDB
Sin(90)/5=Sin(CDB)/4
Sin^-1(4sin(90)/5) = /CDB
53.13010235 degrees = /D
Evaluate the given question:
SinD=Sin(53.13010235)=0.8
SinC=Sin(38.86989765)=0.600000001
SinD*CosD = 0.48
TanC*TanD = 1
CosC*TanD = 1.066666666
FINAL EVALUATION
12/25 = 0.48
3/5 = 0.6
16/15 = 1.066666667
4/5 = 0.8

FINAL ANSWER
12/25 = SinD*CosD
3/5 = SinC
16/15 = CosC*TanD
4/5 = SinD

Hopefully it was useful :)
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