September 2018 1 35 Report

1. Uprość wyrażenie, a następnie oblicz jego wartość:

a) [cos225/(sin315*sin240)]*tg135

2. Oblicz:

a) [(cos10*cos30*cos50)/(sin40*sin60*sin80)]

b) [(sin25*sin50*sin75)/(sin105*sin130*sin155)]

3. Uzasadnij równości:

a) cos2α=cos²α-sin²α

b) tg(α+β)=(tgα+tgβ)/(1-tgα*tgβ)


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