Question

if
tan x =
$\sqrt{5} \div 2$
then the possible value of Cos x is​

Answer 1

Answer: cos x = $\frac{2}{3}$

Step-by-step explanation:

Tan x =  $\frac{\sqrt{5} }{2}$

Tan x = opp. side / adj.side

Let hypotenuse = x

By using pythagoras theorem,

$\sqrt{5^{2} }$ + $2^{2}$ = $x^{2}$

=> 5 + 4 =  $x^{2}$

=> 9 = $x^{2}$

=> x = 3

So Opp. side = $\sqrt{5}$ , Adj.side = 2 and Hypotenuse = 3

=> cos x = adj.side / Hypotenuse

=>  cos x = $\frac{2}{3}$

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