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  • 1》show that the identity :tanAcscA=tanAsinA+cosA is ture for π/3

    1》show that the identity :tanAcscA=tanAsinA+cosA is ture for π/3
    2》prove the following:sin{3π/2 - θ}=-cosθ
    數(shù)學(xué)人氣:734 ℃時(shí)間:2020-02-06 12:47:35
    優(yōu)質(zhì)解答
    1)tanA=tan(π/3)=3^0.5 cscA=csc(π/3)=2/3^0.5 sinA=sin(π/3)=3^0.5/2 cosA=cos(π/3)=1/2
    tanAcscA=3^0.5*2/3^0.5 =2 tanAsinA+cosA=3^0.5*3^0.5/2 +1/2=2 so the identity is true
    2)sin{3π/2 - θ}=sin(3π/2)cos θ-cos(3π/2)sinθ=-cosθ
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