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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 10: Câu 5: Cho ???????????????? = 3/4 (với 0 < ???? < π/2 ). Hãy nêu phương pháp tính giá trị lượng giác: ????????????????; ????????????????; ????????????????

Toán Lớp 10: Câu 5: Cho ???????????????? = 3/4
(với 0 < ???? < π/2 ). Hãy nêu phương pháp tính giá trị lượng giác: ????????????????; ????????????????; ????????????????

Comments ( 2 )

  1. Có: sin^2x+cos^2x=1
    <=> (3/4)^2+cos^2x=1
    <=> 9/16+cos^2x=1
    <=> cos^2x=7/16
    => cosx=\sqrt{7}/4 (do 0<x<π/2)
    Lại có: tan x=(sinx)/(cosx)=(3/4)/(\sqrt{7}/4)=3/\sqrt{7}=(3\sqrt{7})/7
    cot x=1/(tanx)=\sqrt{7}/3
    Vậy cosx=\sqrt{7}/4; tanx=(3\sqrt{7})/7; cotx=\sqrt{7}/3 khi sin x=3/4 (0<x<π/2)

  2. $sin^2x+cos^2x=1$
    $⇒cos^2x=1-(\dfrac{3}{4})^2$ 
    $⇔cos^2x=\dfrac{7}{16}$
    $⇒cos=\dfrac{\sqrt[]{7}}{4}$ vì $0 < ???? <\dfrac{π}{2}$
    $tanx=\dfrac{3}{4}.$ $\dfrac{4}{\sqrt[]{7}}=$ $\dfrac{3}{\sqrt[]{7}}$ 
    $cotx=\dfrac{1}{tanx}=\dfrac{\sqrt[]{7}}{3}$

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222-9+11+12:2*14+14 = ? ( )

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