tan2a=3,求(cos^2a-sin^2a)/sinacosa

问题描述:

tan2a=3,求(cos^2a-sin^2a)/sinacosa

(cos^2a-sin^2a)/(sinacosa)
=(1-sin^2a-sin^2a)/(sinacosa)
=2(1-2sin^2a)/(2sinacosa)
=2(cos2a)/(sin2a)
=2/[tan2a]
=2/3