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Nyatakan sebagai jumlah atau selisih kosinus, dan sederhanakanlah jika mungkin. c. 2 cos 2 1 ​ ( a + b ) cos 2 1 ​ ( a − b )

Nyatakan sebagai jumlah atau selisih kosinus, dan sederhanakanlah jika mungkin.

c.  

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 table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 half end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses a plus b close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 half end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses a minus b close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank b end table.

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Pembahasan

Ingat kembali: Maka: Jadi, .

Ingat kembali:

2 space cos space straight alpha space cos space straight beta equals cos space open parentheses straight alpha plus straight beta close parentheses plus cos space open parentheses straight alpha minus straight beta close parentheses 

Maka:

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 times cos space 1 half open parentheses a plus b close parentheses times cos space 1 half open parentheses a minus b close parentheses end cell equals cell 2 times cos space open parentheses 1 half a plus 1 half b close parentheses times cos space open parentheses 1 half a minus 1 half b close parentheses end cell row blank equals cell cos space open parentheses open parentheses 1 half a plus 1 half b close parentheses plus open parentheses 1 half a minus 1 half b close parentheses close parentheses plus cos space open parentheses open parentheses 1 half a plus 1 half b close parentheses minus open parentheses 1 half a minus 1 half b close parentheses close parentheses end cell row blank equals cell cos space open parentheses 1 half a up diagonal strike plus 1 half b end strike plus 1 half a up diagonal strike negative 1 half b end strike close parentheses plus cos space open parentheses up diagonal strike 1 half a end strike plus 1 half b up diagonal strike negative 1 half a end strike plus 1 half b close parentheses end cell row blank equals cell cos space open parentheses 2 over 2 a close parentheses plus cos space open parentheses 2 over 2 b close parentheses end cell row blank equals cell cos space a plus cos space b end cell end table end style 

Jadi, table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 half end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses a plus b close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 half end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses a minus b close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank b end table.

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Hitungah tanpa menggunakan tabel trigonometri dan kalkulator. cos 1 8 ∘ cos 5 4 ∘ cos 3 6 ∘ ​

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