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

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation: