Question

(1 - cos^2x)/(1 + cot^2x) = sin^2x
true or false?

Answer 1

hint :
1-cos^2 x = sin^2 x
1 + cot^2x = csc^2 x

Answer 2

(1 - cos^2x)/(1 + cot^2x) = sin^2x
1 - cos^2x = sin^2x(1 + cot^2x)
1 - cos^2x = sin^2x + sin^2xcot^2x
1 - cos^2x = sin^2x + cos^2x
1 - cos^2x = 1
1 - 1 = cos^2x
0 = cos^2x

False

Answer 3

However, it is true whenever x = pi/2

Answer 4

i got for left side be sin^4 x
so, LHS not equal RHS

Answer 5

I already stated that it was false

Answer 6

There's always another way

Answer 7

yeps.. :)

Answer 8

I hope I never have to teach trig because I don't like doing these the other way.