高中数学,求解答
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(sinx+cosx)/(sinx-cosx)=2
sinx+cosx=2sinx-2cosx
sinx=3cosx
tanx =3
=> sinx = 3√10/3 or -3√10/3
=>cosx =√10/10 or -√10/10
sin(x-5π)
=-sinx
=3√10/3 or -3√10/3
sin(3π/2 - x)
=-sin(2π - (3π/2 - x) )
=-sin(π/2 +x )
=-cosx
=√10/10 or -√10/10
sinx+cosx=2sinx-2cosx
sinx=3cosx
tanx =3
=> sinx = 3√10/3 or -3√10/3
=>cosx =√10/10 or -√10/10
sin(x-5π)
=-sinx
=3√10/3 or -3√10/3
sin(3π/2 - x)
=-sin(2π - (3π/2 - x) )
=-sin(π/2 +x )
=-cosx
=√10/10 or -√10/10
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