Question

If secA + tan A = 4, then find the cos .​

Answer 1

Answer:

1.1333333

Step-by-step explanation:

this is the correct answer

Answer 2

$\huge\mathcal\red{Given:-}$

$secA + tanA = 4$

$\huge\mathcal\red{To \:Find:-}$

$cosA = ?$

$\huge\mathfrak\red{Solution:-}$

$secA + tanA = 4$

$\implies\frac{1}{cosA} + {\frac{sinA}{cosA}} = 4$

$\implies\frac{1+sinA}{cosA}$

$Multiply \:both \:sides \:by \:cosA$

$\implies\frac{1+sinA \times cosA}{cos^2A}$

$\implies\frac{1+sinA \times cosA}{1 - sin^2A}$

$\implies\frac{1+sinA \times cosA}{1+sinA \times 1-sinA}$

$\implies\frac{cosA}{1-sinA} = 4$

$\implies{cosA = 4 -4sinA}$

$\implies{cosA = 4 \times 1- sinA}$