Question

Find the identical expression for

1-sin^4theta/1+sin^2theta

Answer 1

1-sin^4theta=(1+sin^2theta)(1+sin^2theta)
so, it all simplifies to 1+sin^2theta.

Answer 2

none of my answer choices are 1+sin^2theta

Answer 3

plus you missed the 1+sin^2theta on the bottom

Answer 4

he must have meant 1-sin^2theta= cos^2 theta

Answer 5

is cos^2 theta in options ?

Answer 6

yes it is

Answer 7

good :)

Answer 8

so how exactly do I solve it then?

Answer 9

1-sin^4theta
this is a difference of two squares so factorise it

(1+sin²theta)(1-sin²theta)

so now you have

(1+sin²theta)(1-sin²theta)/1+sin^2theta

this cancels out to 1-sin²theta

1-sin²theta=cos²theta

Answer 10

1-sin²theta=cos²theta this comes from

sin²theta + cos²theta=1

rearrange

1-sin²theta=cos²theta

Answer 11

do you understand?

Answer 12

1-sin2teta=cos2teta

Answer 13

@mahmit2012 that is wrong, sin2theta has its own identity sin²theta is not sin 2 theta

Answer 14

yes I think I understand, thank you!

Answer 15

I wrote sin^2 !! check it out .