求证1/(sin^2)a+1/(cos^2)a-1/(tan^2)a=2+(tan^2)a

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求证1/(sin^2)a+1/(cos^2)a-1/(tan^2)a=2+(tan^2)a求证1/(sin^2)a+1/(cos^2)a-1/(tan^2)a=2+(tan^2)a求证1/(sin^2

求证1/(sin^2)a+1/(cos^2)a-1/(tan^2)a=2+(tan^2)a
求证1/(sin^2)a+1/(cos^2)a-1/(tan^2)a=2+(tan^2)a

求证1/(sin^2)a+1/(cos^2)a-1/(tan^2)a=2+(tan^2)a
左边=1/[(sin^2)a(cos^)a]-(cos^2)a/(sin^2)a
=[1-(cos^4)a]/[(sin^2)a(cos^2)a]
=[1+(cos^2)a] [1-(cos^2)a]/[(sin^2)a(cos^2)a]
=[1+(cos^2)a]/(cos^2)a
= [(sin^2)a+(cos^2)a+(cos^2)a]/(cos^2)a
=[(sin^2)a+2(cos^2)a]/(cos^2)a
=(tan^2)a+2=右边