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anygoal [31]
3 years ago
10

If sin θ = 1 over 3 and tan θ < 0, what is the value of cos θ?

Mathematics
1 answer:
alexira [117]3 years ago
3 0

Answer:

2√2 / 3 (first answer choice)

Step-by-step explanation:

If tan Ф < 0, then Ф must be in either Quadrant II or Quadrant IV.

If sin Ф = +1/3, then Ф (for this problem) is in Quadrant II.

Remembering that sin Ф = opp / hyp = 1 / 3, we use the Pythagorean Theorem to find the adj side:

adj² + 1² = 3²,  or

adj² + 1 = 9, or    adj² = 8.  Since Ф is in Quadrant II, adj is negative.

The value of cos Ф = adj / hyp = √8 / 3 = 2√2 / 3

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Hello there! Your answer would be 1/4.

So to start, count up the total number of sections, and the number of red sections. There are 16 sections total, and 4 of them are red.

This can give us the ratio 4/16.

But next we need to simplify. What is the biggest number that can be divided by both 4 and 16? 4. So, divide both 4 and 16 by 4 to get your simplified answer.

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So, the ratio of red sections to total sections, in lowest terms is 1/4.

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