Question

Please Answer this question

Answer 1

Answer:

x ranges in between the values{-0.866, 1.732}

Step-by-step explanation:

1 + tanx )/cot x × (sinx - cos x)/sin x

cot x = 1/tan x

tan x(1 + tanx) × (sin x - cos x )/sin x

sinx (1 + tan x)/cos x ×

( sin x - cos x)/sin x

(1 + tan x) / cos x × (sinx - cos x)

1 + sinx /cos x) / cos x × (sin x - cos x)

(cos x + sin x)/ cos x cos x ×

(sin x - cos x)

(sin x + cos x)(sin x - cos x)/cos^2x = 2

sin^2x - cos^2x = 2cos^2x

sin^2x = 3cos^2x

sinx = √3 cos^2x = 1.732 cos x

sinx = {-0.866 , 1.732}