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Archy [21]
3 years ago
6

Can you help me? sin 35 (degrees) Thanks!

Mathematics
1 answer:
Nata [24]3 years ago
8 0
<span>OK, here's a *very* approximate "creative" method: 
</span><span>
sin(a+b)=sin(a)cos(b) + cos(a)sin(b) </span>
<span>
choose a=30deg and b=5deg </span>
- sin(a)=0.5 (exact) 
- b is a small number so we say sin(b)~b (in radians). We can do a long division for this: 3.14/36 = 0.087 radians 
- similarly, for b sufficiently small, cos(b)~1 
<span>- now we only need cos(a) = sqrt(3)/2. We can approximately calculate sqrt(3) as 1.73, (by trial-and-error or better, by using the Babylonian method;  so sqrt(3)/2 = 0.865 </span>
<span>
Finally, sin(30 + 5) = (0.5 x 1) + (0.087 x 0.865) = 0.575 (calculating more digits is of no use because the sin(b)=b and cos(b)=1 are quite inaccurate approximations). </span>

<span>So that wasn't all too much effort, and we're close to the correct answer (0.574)


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
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