已知tan(a+b)=3 ,tan(a-b)=5 ,求tan2a 的值.

问题描述:

已知tan(a+b)=3 ,tan(a-b)=5 ,求tan2a 的值.

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)
=-4/7

tan2a=tan[(a+b)+(a-b)]
=[tan(a+b)+tan(a-b)]/[1-tan(a+b)tan(a-b)]
=(3+5)/(1-3X5)
=-4/7

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)
=-4/7