Question

Verify -cot^2xtanx = cot^2x-csc^2x/tanx

Answer 1

Answer:

-cot^2×tanx = cot^2x-cos^2x/tanx

convert tan = sin / cos

cot = cos/sim

take LCM

verify.

Answer 2

-cot^2×tanx = cot^2x-cos^2x/tanx

we know that tan = sin / cos  -(trigonometric identity)

cot = cos/sin  ---(as cot = inverse of tan which is sin/cos)

taking LCM

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

-cos/sin = cos^2/sin^2 - cos^3/sin

multiplying by sin we get

-cos = cos^2/sin - cos^3

dividing by cos on both sides we get

-1 = cos/sin - cos^2

putting value of x as 90 to check

-1 = 0/1 - 0^2

-1=0

which is not possible, therefore this identity is not possible

CHEERS MATE, PLEASE MARK BRAINLIEST

verify.