已知sinx=2cosx,求sinx的平方+1分之2-sinxcosx的值
问题描述:
已知sinx=2cosx,求sinx的平方+1分之2-sinxcosx的值
答
sinx=2cosx
tanx= 2
x is in 1st or 3rd quad.
sinx = ±2/√5
cosx =±1/√5
sinxcosx = 2/5
(sinx)^2 + 1/2 - sinxcosx
=2/5 + 1/2 - 2/5
=1/2