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 :)
