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Pertanyaan

Nilai dari sin ( 1 5 ∘ ) + cos ( 10 5 ∘ ) − 2 sin ( 3 7 ∘ ) + cos ( 6 0 ∘ ) + 2 cos ( 5 3 ∘ ) adalah ....

Nilai dari  adalah ....

  1. 1 half square root of 3 

  2. 1 half square root of 2 

  3. 1 half 

  4. 1 third

  5. 1 fourth 

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P. Tessalonika

Master Teacher

Mahasiswa/Alumni Universitas Negeri Medan

Jawaban terverifikasi

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Pembahasan

Maka, pilihan jawaban yang benar adalah C.

sin open parentheses 15 degree close parentheses plus cos open parentheses 105 degree close parentheses minus 2 sin open parentheses 37 degree close parentheses plus cos open parentheses 60 degree close parentheses plus 2 cos open parentheses 53 degree close parentheses 

table attributes columnalign right center left columnspacing 0px end attributes row cell sin open parentheses 15 degree close parentheses end cell equals cell sin open parentheses 60 degree minus 45 degree close parentheses end cell row blank equals cell sin open parentheses 60 degree close parentheses cos open parentheses 45 degree close parentheses minus cos open parentheses 60 degree close parentheses sin open parentheses 45 degree close parentheses end cell row blank equals cell 1 half square root of 3 times 1 half square root of 2 minus 1 half times 1 half square root of 2 end cell row blank equals cell 1 fourth square root of 6 minus 1 fourth square root of 2 end cell end table 

table attributes columnalign right center left columnspacing 0px end attributes row cell cos open parentheses 105 degree close parentheses end cell equals cell cos open parentheses 60 degree plus 45 degree close parentheses end cell row blank equals cell cos open parentheses 60 degree close parentheses cos open parentheses 45 degree close parentheses minus sin open parentheses 60 degree close parentheses sin open parentheses 45 degree close parentheses end cell row blank equals cell 1 half times 1 half square root of 2 minus 1 half square root of 3 times 1 half square root of 2 end cell row blank equals cell 1 fourth square root of 2 minus 1 fourth square root of 6 end cell end table 

sin open parentheses 37 degree close parentheses equals cos open parentheses 53 degree close parentheses equals 3 over 5 

sin open parentheses 15 degree close parentheses plus cos open parentheses 105 degree close parentheses minus 2 sin open parentheses 37 degree close parentheses plus cos open parentheses 60 degree close parentheses plus 2 cos open parentheses 53 degree close parentheses equals 1 fourth square root of 6 minus 1 fourth square root of 2 plus 1 fourth square root of 2 minus 1 fourth square root of 6 minus 2 open parentheses 3 over 5 close parentheses plus 1 half plus 2 open parentheses 3 over 5 close parentheses equals 1 half 

Maka, pilihan jawaban yang benar adalah C.

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