Question

Need Help Please.




Verify the identity.
(1 + tan^2u)(1 - sin^2u) = 1

Answer 1

@thomaster Help me Please

Answer 2

@Orion1213

Answer 3

sin^2(A) +cos^2(A) =1
1+tan^2(A) = sec^2(A)
Use these identities to proceed

Answer 4

1-sin^2x+tan^2x-tan^2x sin^2x=1
1-sin^2x+tan^2x-(sec^2x-1)sin^x=1
1-sin^2x+tan^2x-(1/cos^2x-1)sin^2x=1
1-sin^2x+tan^2x-(1/cos^2x)sin^2x+sin^2x=1
1-sin^2x+tan^2x-tan^2x+sin^2x=1
then tanx and sinx will go
it is done ....

Answer 5

you can write 1+tan^2u=sec^2u and you can write 1-sin^2u=cos^2u and then
sec^2u=1/cos^2u
so (sec^2u)(cos^2u)=1
hope this is helpful:)