把1/cos^2α-sin^2α用tanα表示出来
问题描述:
把1/cos^2α-sin^2α用tanα表示出来
答
1/(cos^2α-sin^2α)
=(cos^2a+sin^2a)/(cos^2α-sin^2α)
=(1+(sin^2a/cos^2a))/(1-(sin^2a/cos^2a))
=(1+tan^2a)/(1-tan^2a)