简化(1- cos theta + sin theta)/(1+ cos theta + sin theta)?

简化(1- cos theta + sin theta)/(1+ cos theta + sin theta)?
Anonim

回答:

#= SIN(THETA)/(1个+ COS(THETA))#

说明:

#(1-COS(THETA)+ SIN(THETA))/(1个+ COS(THETA)+ SIN(THETA))#

#=(1-COS(THETA)+ SIN(THETA))*(1个+ COS(THETA)+ SIN(THETA))/(1个+ COS(THETA)+ SIN(THETA))^ 2#

#=((1 + sin(theta))^ 2-cos ^ 2(theta))/(1 + cos ^ 2(θ)+ sin ^ 2(theta)+2 sin(theta)+2 cos(theta) + 2 sin(theta)cos(theta))#

#=((1 + sin(theta))^ 2-cos ^ 2(theta))/(2 + 2 sin(theta)+2 cos(theta)+ 2 sin(theta)cos(theta))#

#=((1 + sin(theta))^ 2-cos ^ 2(theta))/(2(1 + cos(theta))+ 2 sin(theta)(1 + cos(theta))#

#=(1/2)((1个+ SIN(THETA))^ 2-COS ^ 2(THETA))/((1个+ COS(THETA))(1个+ SIN(THETA))#

#=(1/2)(1个+ SIN(THETA))/(1个+ COS(THETA)) - (1/2)(COS ^ 2(THETA))/((1个+ COS(THETA))(1 + SIN(THETA)))#

#=(1/2)(1个+ SIN(THETA))/(1个+ COS(THETA)) - (1/2)(1-罪^ 2(THETA))/((1个+ COS(THETA)) (1个+ SIN(THETA)))#

#=(1/2)(1个+ SIN(THETA))/(1个+ COS(THETA)) - (1/2)((1-SIN(THETA))*(1个+ SIN(THETA)))/ ((1个+ COS(THETA))(1个+ SIN(THETA)))#

#=(1/2)(1个+ SIN(THETA))/(1个+ COS(THETA)) - (1/2)(1-SIN(THETA))/(1个+ COS(THETA))#

#= SIN(THETA)/(1个+ COS(THETA))#