Simplify (sin^4(x) - cos^4(x)) / (sin^2(x) - cos^2(x))

1

Step-by-step explanation:

Using the trig. identity

sin²x + cos²x = 1

Given

x - x ← is a difference of squares and factors as

(sin²x - cos²x)(sin²x + cos²x), then fraction becomes

= ← cancel (sin²x - cos²x) on numerator/ denominator

= sin²x + cos²x

= 1

we can't see all full 4 options, but if this is the full option, than the very left one is correct:

-2/5 * -3 3/4

remake the question, adding a picture of all the question, or write down the full left and right answers.