Question

If cosA is 2x/1+x2 then find the value of sinA and tanA interms of x

Answer 1

Answer:

Step-by-step explanation:

Answer 2

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$cosa = \frac{2x}{1 + 2x}$
w.k.t
${cos}^{2} x \\ a + {sin}^{2} a = 1$
$\frac{ {(2x)}^{2} }{(1 + 2x)^{2} } + {sin}^{2} a = 1$
after solving
we get
$sina = \frac{ \sqrt{1 + 4x} }{1 + 2x}$
$tana = \frac{sina}{cosa}$
after putting value of cosA and sin A
we get
$tana = \frac{ \sqrt{1 + 4x} }{2x}$