Jika p = cscx nilai dari cot²x + sin²x + cos² - 2cscx = Tolong bantu

sin²x+cos²x=1
cot²x+1-2p= 1/tan²x+1-2p
1/tanx . 1/tanx +1-2p
cosx/sinx . cosx/sinx+1-2p
cosx . 1/sinx. cosx . 1/sinx +1-2p
cosx.p.cosx.p+1-2p
p²cos²x+1-2p

TriGonoMetRi

csc x = p
1/sin x = p
sin x = 1/p

cos² x = (1 - sin² x)
cos² x = 1 - 1/p²
cos² x = (p² - 1)/p²

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cot² x + (sin² x + cos² x) - 2 csc x
= cos² x/sin² x + 1 - 2 csc x
= (p² - 1) + 1 - 2p
= p² - 2p ✔