Question

can i get help proving this identity please
tan^2(x)+sin^2(x)+cos^2(x)=sec^2(x)

Answer 1

tan^2(x) = sec^2(x) - 1
sin^2(x) = 1- cos^2(x)
if you substitute those values in for tan^2(x) and sin^2(x) do you see how we can get to the solution?

Answer 2

the well known identity is sin^2(x)+cos^2(x) = 1. If you divide each term here by cos^2(x) you can derive the identity for tan^2(x) which i wrote earlier

Answer 3

ok im trying it out

Answer 4

alright thank u

Answer 5

Remember that: \(\sin^2(x)+\cos^2(x)=1\). So now we re-write the equation as:\[\tan^2(x)+1=\sec^2(x) \implies \sec^2(x)=sec^2(x) \] \( \therefore L.S=R.S \)

@samancha85