farisshaikh9 farisshaikh9

25-02-2022
Mathematics

contestada

Verify the following identity. Show all work for credit.

(sec\theta -cos\theta )/(sec\theta )=sin^(2)\theta

Verify the following identity Show all work for credit sectheta costheta sectheta sin2theta class=

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Shawalex2005 Shawalex2005

25-02-2022

Sec 0 divided by sec 0 = 2 cos = sin
Sin2 =0

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Аноним Аноним

26-02-2022

[tex]\\ \rm\Rrightarrow \dfrac{secA-cosA}{secA}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1/cosA-cosA}{secA}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1-cosA/cosA}{secA}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2sin^2(A/2)/cosA}{1/cosA}[/tex]

[tex]\\ \rm\Rrightarrow 2sin^2(A/2)[/tex]

[tex]\\ \rm\Rrightarrow Sin^2A[/tex]

Proved

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