Question

how do i prove : tan^2 θ cos^2 θ + cos^2 θ = 1

Answer 1

well my first attempt to prove this is true is to take the left hand side and try to show the right hand side
the left hand side has both terms with the factor cos^2(theta)
start by factoring cos^2(theta) out from both terms
this will get us closer to writting as 1 term just as the right hand side is (one term)

Answer 2

let me know if you still don't know where to go after that

Answer 3

I'm pretty confused

Answer 4

on how to factor?

Answer 5

do you know hot to factor the expression ax+x?

Answer 6

how* (not hot)

Answer 7

no

Answer 8

I will show you how to factor ax+x
then you should be able to factor tan^2(theta)*cos^2(theta)+cos^2(theta)


so ax+x

I see there is a x in both terms



so i will factor that x out like so
\[ax+1x=x(a+1)\]