# Answer on Trigonometry Question for lissa

Question #4290

(1+1/tan^2x)(1+1/cot^2x)=1/sin^2x-sin^4x.please help me prove it.PLease

Expert's answer

(1+1/(tan x)^2)(1+1/(cotan x)^2)=1/(sin x)^2-(sin x)^4

1/(cos x)^2 * 1/(sin x)^2=1/(sin x)^2-(sin x)^4

1/(cos x)^2=1-(sin x)^6

(tan x)^2+(sin x)^6=0

tan x=0 and sin x=0

but it's not correct because we have tan x in the denominator. Hence given equality does not hold

1/(cos x)^2 * 1/(sin x)^2=1/(sin x)^2-(sin x)^4

1/(cos x)^2=1-(sin x)^6

(tan x)^2+(sin x)^6=0

tan x=0 and sin x=0

but it's not correct because we have tan x in the denominator. Hence given equality does not hold

Need a fast expert's response?

Submit orderand get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

## Comments

## Leave a comment