高一数学三角函数化简求值设角α= -(35/6)π,则2sin(π+α)cos(π-α)-cos(π+α)/1+sin^2α+sin(π-α)-cos^2(π+α)的值等于.

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/08 04:31:46
高一数学三角函数化简求值设角α= -(35/6)π,则2sin(π+α)cos(π-α)-cos(π+α)/1+sin^2α+sin(π-α)-cos^2(π+α)的值等于.

高一数学三角函数化简求值设角α= -(35/6)π,则2sin(π+α)cos(π-α)-cos(π+α)/1+sin^2α+sin(π-α)-cos^2(π+α)的值等于.
高一数学三角函数化简求值
设角α= -(35/6)π,则2sin(π+α)cos(π-α)-cos(π+α)/1+sin^2α+sin(π-α)-cos^2(π+α)的值等于.

高一数学三角函数化简求值设角α= -(35/6)π,则2sin(π+α)cos(π-α)-cos(π+α)/1+sin^2α+sin(π-α)-cos^2(π+α)的值等于.
原式=2sinacosa+cosa/1+sin^2a+sina-cos^2a=cosa(2sina+1)/sina(2sina+1)=cosa/sina
代入a= -(35/6)π得 原式=cos(π/6)/sin(π/6)=根号下3
为方便打字 我把α写成a了 你写时换换就行了

用诱导公式