What is the tan if x?

Question

asked Oct 24, 2023 217k views

1 Answer

Roger Binns · Answer 1 · 2023-10-30T11:50:47+0000

$\qquad\qquad\huge\underline{{\sf Answer}}$

The given triangle is a right triangle, with one of the acute angle measuring 45°

let's calculate x ~

$\qquad \tt \dashrightarrow \:x + 45 + 90 = 180$

$\qquad \tt \dashrightarrow \:x + 135 = 180$

$\qquad \tt \dashrightarrow \:x = 180 - 135$

$\qquad \tt \dashrightarrow \:x = 45 \degree$

So, tan x is :

$\qquad \tt \dashrightarrow \: \tan(x) = \tan(45 \degree)$

[ since x = 45° ]

$\qquad \tt \dashrightarrow \: \tan(x) = 1$