Pertanyaan

Nilai dari sin 11 5 o + sin 5 o cos 11 5 o + cos 5 o = ...

Nilai dari $\frac{cos 11 5 ^{o} + cos 5 ^{o}}{sin 11 5 ^{o} + sin 5 ^{o}} = ...$

-1

D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$R u m u s space p e n j u m l a h a n space sin space d a n space cos space a d a l a h cos invisible function application alpha plus cos invisible function application beta equals 2 cos invisible function application fraction numerator alpha plus beta over denominator 2 end fraction cos invisible function application fraction numerator alpha minus beta over denominator 2 end fraction sin invisible function application alpha plus sin invisible function application beta equals 2 sin invisible function application fraction numerator alpha plus beta over denominator 2 end fraction cos invisible function application fraction numerator alpha minus beta over denominator 2 end fraction M a k a fraction numerator cos invisible function application 115 to the power of o plus cos invisible function application 5 to the power of o over denominator sin invisible function application 115 to the power of o plus sin invisible function application 5 to the power of o end fraction equals fraction numerator 2 cos invisible function application fraction numerator 115 plus 5 over denominator 2 end fraction cos invisible function application fraction numerator 115 minus 5 over denominator 2 end fraction over denominator 2 sin invisible function application fraction numerator 115 plus 5 over denominator 2 end fraction cos invisible function application fraction numerator 115 minus 5 over denominator 2 end fraction end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 2 cos invisible function application 60 to the power of o cos invisible function application 55 to the power of o over denominator 2 sin invisible function application 60 to the power of o cos invisible function application 55 to the power of o end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator cos invisible function application 60 to the power of o over denominator sin invisible function application 60 to the power of o end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals cot invisible function application 60 to the power of o space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 third square root of 3$