cos^2a*tan^2a=sin^2a嗎?為什麼

cos^2a*tan^2a=sin^2a嗎?為什麼


tana=(sina)/(cosa)
則:
tan²;a=(sin²;a)/(cos²;a_
即:
coa²;atan²;a=sin²;a



若a是第一象限角,則在sin(2a+π),cos(-2a),sina/5,cosa/5,tan(a/2-π)中,能確定為定值的有幾個?
A 1個B.2個C.3個D.4個


sin(2a+π),tan(a/2-π)



已知tan(a+派/4)=2,求1+2sinacosa/cos^2a-sin^2a


tan(a+π/4)=2=(tana+tanπ/4)/(1-tanatanπ/4)=(tana+1)/(1-tana)
tana=1/3
(1+2sinacosa)/(cos^2a-sin^2a)
=(sin^2a+cos^2a+2sinacosa)/(cos^2a-sin^2a)(上下同除cos^2a)
=((tan^2a+1+2tana)/(1-tan^2a)
=(1/9+1+2/3)/(1-1/9)
=2