Question

Упростить: Хелпаните -_-/-_-
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Answer 1

1. (tg(π/2-α)-ctg(π/2+α))²=(ctgα-(-tgα))²=(ctgα+tgα)².

2. (ctg(π+α)+ctg(3π/2+α))²=(ctgα+(-tgα))²=(ctgα-tgα)².

3. (ctgα+tgα)²-(ctgα-tgα)²=(ctgα+tgα+ctgα-tgα)*(ctgα+tgα-(ctgα-tgα)=

=(ctgα+tgα+ctgα-tgα)*(ctgα+tgα-ctgα+tgα)=2*ctgα*2*tgα=4*1=4.