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Novosadov [1.4K]
3 years ago
15

19. Use the unit circle to find the value of tan 315º. Show work pls.

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
7 0

Answer: -1

Step-by-step explanation:

First change tan(315) to:

\frac{\sin(315)}{\cos(315)}

Then evaluate the sine and cosine function. What is the y component of 315 degrees? What is the x component of 315 degrees?

-\frac{\sqrt{2} }{2} /\frac{\sqrt{2} }{2} =-1

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Answer:

33.) = 4

34.) = 2

35.) = 6

36.) = 6

37.) = 91

38.) = 35

39.) = 4

40.) = 28

41.) = 18

42.) = (-6)

Step-by-step explanation:

<h3>33.)</h3>

(10 + 6) ÷ [(9 – 5) × (5 – 4)²]

(16) ÷ (4) × (1)²

16/4 = 4

Thus, The answer is 4

<h3>34.)</h3>

(3² × 2) ÷ (5 + 8 – 5 + 1)

(9 × 2) ÷ (9)

18/9 = 2

Thus, The answer is 2

<h3>35.)</h3>

6² ÷ {2 + 5 – [9 – (6 + 2)]}

6² ÷ [2 + 5 – (9 – 8)]

36 ÷ [2 + 5 – (1)]

36 ÷ 7 – 1

36/6 = 6

Thus, The answer is 6

<h3>36.)</h3>

(3 × 3 × 2) ÷ (4 – 1)

18/3 = 6

Thus, The answer is 6

<h3>37.)</h3>

4 × 3 × 10 – 4² – (10 + 3)

120 – 16 – 13

120 – 29 = 91

Thus, The answer is 91

<h3>38.)</h3>

5 × [(22 – 1) × 2] ÷ (8 + 2 – 4)

5 × [(21) × 2] ÷ (6)

5 × 42 ÷ 6

5 × 7 = 35

Thus, The answer is 35

<h3>39.)</h3>

-2 × 4 ÷ [2 + (-4) – (-4)] – 4

-8 ÷ (2 – 4 + 4) – 4

-8 ÷ 2 – 4

-8/-2 = 8/2 = 4

Thus, The answer is 4

<h3>40.)</h3>

-4(-1 + 2) × 4 – 2 + (-1)

-4 × (1) × 4 – 2 – 1

(-4) × (-7) = 28

Thus, The answer is 28

<h3>41.)</h3>

-3 – (-3 × 3) + 6 × 2

-3 – (-9) + 12

-3 + 9 + 12

6 + 12 = 18

Thus, The answer is 18

<h3>42.)</h3>

6 – {3² + [3 × (-1)²]}

6 – [9 + (3 × 1)]

6 – (9 + 3)

6 – 12 = -6

Thus, The answer is (-6)

<u>-TheUnknownScientist 72</u>

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