Question

if tanx=tan(90-x),then x=?​

Answer 1

Answer:

45

Step-by-step explanation:

tan(90-x) = cot x

so, tanx = cotx

x = 45

Answer 2

The value of ∠x = 45° .

Step-by-step explanation:

We have,

$\tan x = \tan(90-x)$

To find, the value of ∠x = ?

∴ $\tan x = \tan(90-x)$

⇒ $x=\tan ^{-1} \tan (90-x)$

[ ∵$\tan ^{-1} \tan x=x$]

⇒ x = 90° - x

⇒ x + x = 90°

⇒ 2x = 90°

⇒ x = $\dfrac{90}{2}$

⇒ x = 45°

∴ x = 45°

Hence, the value of ∠x = 45° .