Jika tan (x) = 5/12 di kuadran ketiga, cari rasio trigonometri lainnya

Jika tan (x) = 5/12 di kuadran ketiga, cari rasio trigonometri lainnya

tan x = 12/5, x di kuadran III

Di kuadran ketiga, tan x dan cot x positif. sin x, cos x, sec x, cosec x negatif.

Dengan menggunakan rumus,

ranjang x = 1/tan x

= 1/(12/5)

= 5/12

cosec x = – (1 + cot 2 x)

= – (1 + (12/5) 2 )

= – (25 + 144) / 25

= – (169/25)

= -13/5

sin x = 1/cosec x

= 1/(-13/5)

= -5/13

cos x = – (1 – sin 2 x)

= – (1 – (-5/13) 2 )

= – (169-25)/169

= – (144/169)

= -12/13

detik x = 1/cos x

= 1/(-12/13)

= -13/12

sin x = -5/13, cos x = -12/13, cot x = 5/12, cosec x = -13/5, sec x = -13/12

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