Approximate the irrational number sin 177 ∘ to 4 significant digits

Question

Approximate the irrational number sin       177          ∘       to 4 significant digits

Cynthia Lester · Accepted Answer

Step 1det,   Z  =  sin  ⁡  x.  ⇒  d  z  =  cos  ⁡  x     d  x                              x                          z                                                  180                          ∘                                                0                                                  177                          ∘                                                ?                                      =                      3                          ∘                                                  Step 2Thus, here,   d  x  =      3          ∘      So,   sin  ⁡      177          ∘        =  z  −  d  z  =  0  −  cos  ⁡      180          ∘        ×      3          ∘      Now,   x  =      180          ∘        ,  ⇒      1          ∘        =      π    180    ,  ⇒      3          ∘        =            3      π        180    =  −  cos  ⁡  (      180          ∘        )  ×            3      π        180    =  −  (  −  1  )  ×            3      π        180    [  ∵  cos  ⁡      180          ∘        =  −  1  ]  =            3      π        180    =  0.0523

Approximate the irrational number sin 177o to 4 significant digits

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