已知tan2a=1 3,求tana的值

tan2a=tan[(a+b)+(a-b)]=[tan(a+b)+tan(a-b)]/[1-tan(a+b)tan(a-b)]=[3+5]/[1-3*5]=-4/7tan2b=tan[(a+b)-(a

tan2A=tan[(A+B)+(A-B)]=[tan(A+B)+tan(A-B)]/[1-tan(A+B)tan(A-B)]=(3+5)/(1-3×5）=-4/7tan2B=tan[(A+B)-(A

tan(a-π/4)=(tana-tanπ/4)/(1+tanatanπ/4)=(-3/4-1)/(1-3/4*1)=-7tan2a=2tana/(1-tana^2)=(-3/2)/(1-9/16)=

tan2a=tan((a+b)+(a-b))=(tan(a+b)+tan(a-b))/(1-tan(a+b)tan(a-b))=-4/7同理tan2b=tan((a+b)-(a-b))=-1/8

tan2a=tan[(a+b)+(a-b)]=(2/5+1/4)/(1-2/5×1/4)=13/18tan2a=(2tana)/(1-tan²a)=13/18解方程可得tana,数据繁,有误

[[1]]tan(2a)=tan[(a+b)+(a-b)]=[tan(a+b)+tan(a-b)]/[1-tan(a+b)tan(a-b)]=(3+5)/(1-3×5)=8/(-14)=-4/7[[2

设t=tana,我们有个【倍角公式】.(这也是三个万能公式之一）.tan2a={2t}/{1-t²}.∴(1/3)={2t}/{1-t²}.∴t²＋6t－1＝0.∴t1＝

设三角形ABC中

2tana/(1-tan^2a)=1/3去分母6tana=1-tan^2atan^2a+6tana-1=0

∵sina=5/13,a属于(π/2,π)∴cosa=-12/13∴sin2a=2sinacosa=-120/169cos2a=1-2sin²a=1-2*(5/13)²=119/1

∵a属于(π/2,π)∴cosa

首先括号里应该是π/4（四分之π,而不是π分之4对吧?）先用正切和角公式,tan（α+π/4）=（tanα+1）/（1-tanα）=3/4技巧来了,千万别使劲算.随便我举个例子：算式：（x+1）/（1

tan2a=tan[(a+b)+(a-b)]=[tan(a+b)+tan(a-b)]/[1-tan(a+b)*tan(a-b)]=(3+5)/(1-3*5)=-4/7tan2b=tan[(a+b)-(

tan(A+B)=(tanA+tanB)/(1-tanAtanB)tan2a=tan[(a+b)+(a-b)]=(3+5)/(1-3*5)=-4/7tan(A-B)=(tanA-tanB)/(1+ta

tan(2a)=tan(a-b+a+b)=(tan(a-b)+tan(a+b))/(1-tan(a-b)tan(a+b))=(3+5)/(1-3*5)=-4/7tan(2b)=tan((a+b)-(a

解tan2a=tan[(a-b)+(a+b)]=[tan(a-b)+tan(a+b)]/[1-tan(a-b)tan(a+b)]=(1/3+1/2)/(1-1/6)=5/6×6/5=1tan2b=ta

tan2a=tan[(a+b)+(a-b)]=[tan(a+b)+tan(a-b)]/[1-tan(a+b)tan(a-b)]=(3+5)/(1-3*5)=-4/7tan2b=tan[(b+a)+(b

由万能公式tanA = 2tanA / (1 - tan²A),然后你会了.再问：请问tan^2(A)*2-(1-tan^2(A)

A为钝角,但已知sinA=-5/13

sina=12/13,a∈(π/2,π),所以cosa=-5/13sin2a=2sinacosa=-2×12/13×（-5/13）=-120/169cos2a=1-2sin²a=1-2×14