Question

6.
If cos A+ sec A = 2, find value of cos^2 A+ sec^2 A.​

Answer 1

2

Refer to the image...........,........

Answer 2

$Given \: cos A + sec A = 2 \: ---(1)$

/* On squaring both sides of the equation , we get*/

$\implies (cos A + sec A )^{2} = 2^{2}$

$\implies cos^{2} A + sec^{2} A + 2 cos A sec A = 4$

$\implies cos^{2} A + sec^{2} A + 2 cos A\times \frac{1}{cos A} = 4$

$\implies cos^{2} A + sec^{2} A + 2 = 4$

$\implies cos^{2} A + sec^{2} A = 4 - 2$

$\green {\implies cos^{2} A + sec^{2} A = 2}$

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