1)
[tex]\sin A=0.4848[/tex]
Multiplying both sides by inverse of sine, we get
[tex]\sin ^{-1}\sin A=\sin ^{-1}0.4848[/tex]
[tex]\angle A=\sin ^{-1}0.4848[/tex]
Using desmans calculator we, get
[tex]\angle A=28.99936979[/tex]
Rounding the nearest degree means we need to round off the final answer to the next degree.
[tex]\angle A=29^o[/tex]
2)
[tex]\sin B=0.5150[/tex]
Multiplying both sides by inverse of sine, we get
[tex]\sin ^{-1}\sin B=\sin ^{-1}0.5150[/tex]
[tex]\angle B=\sin ^{-1}0.5150[/tex]
[tex]\angle B=30.99745499[/tex]
Rounding off,
[tex]\angle B=40^o[/tex]
3)
[tex]\cos Z=0.7431[/tex]
Multiplying both sides by inverse of cosine, we get
[tex]\cos ^{-1}\cos Z=\cos ^{-1}0.7431[/tex]
[tex]\angle Z=\cos ^{-1}0.7431[/tex]
[tex]\angle Z=42.00383814[/tex]
[tex]\angle Z=42^o[/tex]
4)
[tex]\cos W=0.6157[/tex]
Multiplying both sides by inverse of cosine, we get
[tex]\cos ^{-1}\cos W=\cos ^{-1}0.6157[/tex]
[tex]\angle W=\cos ^{-1}0.6157[/tex]
[tex]\angle W=51.99719884[/tex]
[tex]\angle W=52^o[/tex]
5)
[tex]\cos U=0.5878[/tex]
Multiplying both sides by inverse of cosine, we get
[tex]\cos ^{-1}\cos U=\cos ^{-1}0.5878[/tex]
[tex]\angle U=\cos ^{-1}0.5878[/tex]
[tex]\angle U=53.99895554[/tex]
[tex]\angle U=54^o[/tex]
6)
[tex]\tan W=19.081[/tex]
Multiplying both sides by inverse of a tangent, we get
[tex]\tan ^{-1}\tan W=\tan ^{-1}19.081[/tex]
[tex]\angle W=\tan ^{-1}19.081[/tex]
[tex]\angle W=86.99997855[/tex]
[tex]\angle W=87^o[/tex]
7)
[tex]cosV=0.4226[/tex]
Multiplying both sides by inverse of cosine, we get
[tex]\cos ^{-1}cosV=\cos ^{-1}0.4226[/tex]
[tex]\angle V=\cos ^{-1}0.4226[/tex]
[tex]\angle V=65.00115448[/tex]
[tex]\angle V=65^o[/tex]
8)
[tex]tanX=0.5317[/tex]
Multiplying both sides by inverse of a tangent, we get
[tex]\tan ^{-1}tanX=\tan ^{-1}0.5317[/tex]
[tex]\angle X=\tan ^{-1}0.5317[/tex]
[tex]\angle X=27.99957871[/tex]
[tex]\angle X=28^o[/tex]
