Me for the love of god if i fail i have to repeat the class

given : sin ∅= 4/5 | cos x = -5/13 (∅: quadrant i, x: quadrant ii)

what is:

1. sin(∅+x)

2. cos(∅-x)

3. tan(∅+x)

4. sin2 ∅

5. cos 2x

6. tan2 ∅

7. tan 1/2x

8. sin 3 ∅

is in quadrant I, so .

is in quadrant II, so .

Recall that for any angle ,

Then with the conditions determined above, we get

and

Now recall the compound angle formulas:

as well as the definition of tangent:

Then

1.

2.

3.

4.

5.

6.

7. A bit more work required here. Recall the half-angle identities:

Because is in quadrant II, we know that is in quadrant I. Specifically, we know , so . In this quadrant, we have , so

8.

coins of silver or gold

step-by-step explanation:

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,