пусть ctg x =-7/24 найдите cos x/2. Created by merci0077. matematika-ru

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merci0077 @merci0077

July 2022 1 4 Report

пусть ctg x =-7/24 найдите cos x/2

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sedinalana

Verified answer

Sin²x=1:(1+ctg²x)=1:(1+49/576)=1:625/576=576/625
cos²x=1-sin²x=1-576/625=49/625
cosx=+-7/25
1)cosx=-7/25
cosx/2=√[(1+cosx)/2]
cosx/2=√[(1-7/25)/2]=√(9/25)=3/5
2)cosx=7/25=√[(1+7/25)/2]=√(16/25)=4/5

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