Can cos⁡(36∘) be calculated using known cosines like cos⁡(37∘) and the derivative formulaf′(x)≈f(x+△x)−f(x)△x

Keaton Good

Keaton Good

Answered

2022-01-25

Can cos(36) be calculated using known cosines like cos(37) and the derivative formula
f(x)f(x+x)f(x)x

Answer & Explanation

Wilson Mitchell

Wilson Mitchell

Expert

2022-01-26Added 8 answers

If we know that cos(37)0.8 and sin(37)0.6 then we can use the fact that
ddxcos(x)=sin(x)
to approximate cos(36) as
cos(36)0.8+0.6(π180)=0.810
Where 1=π180 radians which must be used here.

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