Precalculus Triangles Quiz Review Sheet Answers

Listed below are the answers to the Precalc triangles quiz review sheet.  If you have any questions on any of them, post your question in the comments.  Be patient–it will not show up until I read it!

1)      7π/4  radians

2)      A) 30°                         B) 60°

3)      120° 

4)      42° 15′ 18″ 

5)      π/3  radians  

6)      50° 15′ 18″ 

7)     

sin θ =   opp/hyp                  cos θ =   adj/hyp                      tan θ = opp/adj

csc θ =   hyp/opp                  sec θ =  hyp/adj                       cot θ = adj/opp

8.    sin θ =  3/5                    cos θ = 4/5                                tan θ =3/4

9)     x=   25                      y= 7                     ß=16.26

 10)    ß=  67.38                  α=   22.62                                                        

          Q=  60                      R= 30

          t=  45                        u= 45

          p= 36.87                   k= 53.13

11)   30°= π/6  radians                 60°= π/3 radians                 45°= π/4 radians

sin 30˚=   1/2                  cos 30˚=  (√3)/2                          tan 30˚=   (√3)/3                           

sin(π/3)=  (√3)/2          cos(π/3)=  1/2                           tan(π/3)= (√3)

sin 45˚=  (√2)/2             cos 45˚=  (√2)/2                        tan 45˚= 1

sec 60˚=  2                       csc 60˚=   [(√3)*2]/3               cot 60˚= (√3)/3

sec(π/6)=   [(√3)*2]/3        csc(π/6)=  2                         cot(π/6)= (√3)

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