sina+cosa=1/5且2a∈(π,3π/2)求cos2a,tan(2a-π/4)

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/27 19:13:26
sina+cosa=1/5且2a∈(π,3π/2)求cos2a,tan(2a-π/4)
x)+KN/N57}cQ⣎{:7o7| (mSa 4ѴI*'W~ E>ݹٴOMڱY`1Cm#PLa4J52^d. t:^ 3l9L+#l5B@CM}K& ,f%lu l @AR$.

sina+cosa=1/5且2a∈(π,3π/2)求cos2a,tan(2a-π/4)
sina+cosa=1/5且2a∈(π,3π/2)求cos2a,tan(2a-π/4)

sina+cosa=1/5且2a∈(π,3π/2)求cos2a,tan(2a-π/4)
平方得到:
1+2sinacosa=1/25
sin2a=24/25
因为2a∈(π,3π/2),
所以:
cos2a=-7/25
tan(2a-π/4)
=(tan2a-1)/(tan2a+1)
=(-24/7-1)/(-24/7+1)=-31/17.