Write each expression in factored form as an algebraic expression of a single trigonometric function.
-$4 \cot ^ { 2 } x - \frac { 4 } { \tan x } + \cos x \sec x$
A) $( 4 \tan x + 1 ) ( \tan x + 1 )$
B) $( 2 \cot x - 1 ) ^ { 2 }$
C) 1
D) $( 2 \tan x - 1 ) ( 2 \tan x + 1 )$

Question

Quizplus · Accepted Answer

The expression can be rewritten using trigonometric identities: $4 \cot^2 x - \frac{4}{\tan x} + \cos x \sec x$ simplifies to $(2 \cot x - 1)^2$.

Write Each Expression in Factored Form as an Algebraic Expression 4cot⁡2x−4tan⁡x+cos⁡xsec⁡x4 \cot ^ { 2 } x - \frac { 4 } { \tan x } + \cos x \sec x4cot2x−tanx4​+cosxsecx

Write Each Expression in Factored Form as an Algebraic Expression $4 \cot ^ { 2 } x - \frac { 4 } { \tan x } + \cos x \sec x$