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.

step-by-step explanation:

when the line is solid:

when the line is dashed:

this > inequality sign means:

this < inequality sign means:

this > inequality sign means:

this < inequality sign means:

about the problem:

srry i'm not done ! i'll

answer: (3,11) is your answer.