She is starting at 4000, so that is the y-intercept of the graph. She is descending at 40 feet per minute, so her rate of change or slope is -40. The graph would look like this:
A.)

Use the identities

and

on the left-hand side

Make 1 have a common denominator to allow for fraction subtraction
Multiply the numerator and denominator of 1 by cos^2 x

Use Pythagorean identity for the numerator.
If

then subtracting both sides by

yields

. We can substitute that into the numerator

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b.)

For the left-hand side:
By definition,

and

Since

Using Pythagorean identity,

so
Answer:
x = 4/15
Step-by-step explanation:
Step 1: Define
j(x) = -45x + 7
j(x) = -5
Step 2: Substitute and Evaluate
-5 = -45x + 7
-12 = -45x
x = 4/15
Answer:
most likely (c) 140 degrees
Answer:
(-3,5)
Step-by-step explanation: