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Pertanyaan

Buktikan tan ( a + 45 ) ∘ = cos a ∘ − sin a ∘ cos a ∘ + sin a ∘ ​ .

Buktikan .space 

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A. Armanda

Master Teacher

Mahasiswa/Alumni Universitas Indraprasta PGRI

Jawaban terverifikasi

Jawaban

terbukti bahwa .

terbukti bahwa tan space open parentheses a plus 45 close parentheses degree equals fraction numerator cos space a degree plus sin space a degree over denominator cos space a degree minus sin space a degree end fraction.

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Pembahasan

Ingat! JumlahDua Sudut pada Tangen Akan dibuktikan . Bukti: Jadi, terbukti bahwa .

Ingat!

tan space alpha equals fraction numerator sin space alpha over denominator cos space alpha end fraction 

Jumlah Dua Sudut pada Tangen

tan space open parentheses alpha plus beta close parentheses equals fraction numerator tan space alpha plus tan space beta over denominator 1 minus tan space alpha times tan space beta end fraction 

Akan dibuktikan tan space open parentheses a plus 45 close parentheses degree equals fraction numerator cos space a degree plus sin space a degree over denominator cos space a degree minus sin space a degree end fraction.

Bukti:

table attributes columnalign right center left columnspacing 0px end attributes row cell tan space open parentheses a plus 45 close parentheses degree end cell equals cell fraction numerator tan space a degree plus tan space 45 degree over denominator 1 minus tan space a degree times tan space 45 degree end fraction end cell row blank equals cell fraction numerator tan space a degree plus 1 over denominator 1 minus tan space a degree times 1 end fraction end cell row blank equals cell fraction numerator 1 plus tan space a degree over denominator 1 minus tan space a degree end fraction end cell row blank equals cell fraction numerator 1 plus begin display style fraction numerator sin space a degree over denominator cos space a degree end fraction end style over denominator 1 minus fraction numerator sin space a degree over denominator cos space a degree end fraction end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator cos space a degree plus sin space a degree over denominator up diagonal strike cos space a degree end strike end fraction end style over denominator fraction numerator cos space a degree minus sin space a degree over denominator up diagonal strike cos space a degree end strike end fraction end fraction end cell row blank equals cell fraction numerator cos space a degree plus sin space a degree over denominator cos space a degree minus sin space a degree end fraction end cell end table 

Jadi, terbukti bahwa tan space open parentheses a plus 45 close parentheses degree equals fraction numerator cos space a degree plus sin space a degree over denominator cos space a degree minus sin space a degree end fraction.

Latihan Bab

Konsep Kilat

Jumlah dan Selisih Dua Sudut

Sudut Rangkap dan Sudut Paruh

Perkalian Trigonometri

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

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