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WINSTONCH [101]
3 years ago
11

What is the best first step if your plan is to find the exact value of cos 75°using the cosine angle sum identity?

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
8 0
Cos 75  = cos (45 + 30)  = cos45 cos30 - sin45 sin30

=   1/ sqrt2 * sqrt3/2  - 1/ sqrt2 *  1/2

= sqrt3 / 2 sqrt2 - 1 / 2 sqrt2

=     sqrt3 - 1
     -------------
       2 sqrt2


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