Pertanyaan

Jika sin θ = 5 4 dan cos θ = 5 3 , maka csc θ − cot θ = ....

Jika $sin θ = \frac{4}{5}$ dan $cos θ = \frac{3}{5}$ , maka $csc θ - cot θ =$ ....

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M. Robo

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Jawaban terverifikasi

Pembahasan

Ingat bahwa Maka

Ingat bahwa

$csc invisible function application theta equals fraction numerator 1 over denominator sin invisible function application theta end fraction cot invisible function application theta equals fraction numerator cos invisible function application theta over denominator sin invisible function application theta end fraction$

Maka

$csc invisible function application theta minus cot invisible function application theta equals fraction numerator 1 over denominator sin invisible function application theta end fraction minus fraction numerator cos invisible function application theta over denominator sin invisible function application theta end fraction equals fraction numerator 1 over denominator 4 over 5 end fraction minus fraction numerator 3 over 5 over denominator 4 over 5 end fraction equals 1 cross times 5 over 4 minus 3 over 5 cross times 5 over 4 equals 5 over 4 minus 3 over 4 equals 2 over 4 equals box enclose 1 half end enclose$