Diketahui cosec Q=√3tentukan sin Q,cos Q,tan Q​

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Diketahui cosec Q=√3tentukan sin Q,cos Q,tan Q​

Jawab:

Penjelasan dengan langkah-langkah:

trigonometri

perbandingan

__

soal

cosec Q = √3 = √3/1 =  r/y

r= √3 , y = 1  dan x² = r² – y²

x² = (√3)² -(1)² = 3- 1 = 2

x= √2

sin Q =  y/r  =  1/√3  =  ¹/₃ √3

cos Q =  x/r =  √2 / √3 = ¹/₃ √6

tan Q =  y/x = 1/√2 =  ¹/₂ √2

cosec = miring / depan

maka

samping =

sqrt{ { sqrt{3} }^{2} - {1}^{2} } = sqrt{3 - 1} = sqrt{2}

sin Q = depan/miring =

frac{1}{ sqrt{3} }

cos Q = samping/miring =

frac{ sqrt{2} }{ sqrt{3} }

tan Q = depan/sampaing =

frac{1}{ sqrt{2} }