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Ksju [112]
3 years ago
15

PLEASE HELP WILL GIVE BRAINLIEST

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
4 0

Answer:

  A.  slope = -2; point = (8, -3)

Step-by-step explanation:

Compare to the point-slope form for slope m and point (h, k).

  y -k = m(x -h)

You see that k = -3, m = -2, h = 8, so ...

  • the slope is -2
  • the point is (h, k) = (8, -3)
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Answer:

Option B. Cosec θ = –5/3

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Step-by-step explanation:

From the question given above, the following data were obtained:

Tan θ = 3/4

θ is in 3rd quadrant

Recall

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Tan θ = 3/4 = Opposite / Adjacent

Thus,

Opposite = 3

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Next, we shall determine the Hypothenus. This can be obtained as follow:

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Adjacent = 4

Hypothenus =?

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Recall:

In the 3rd quadant, only Tan is positive.

Therefore,

Hypothenus = –5

Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:

Opposite = 3

Adjacent = 4

Hypothenus = –5

Sine θ = Opposite / Hypothenus

Sine θ = 3/–5

Sine θ = –3/5

Cos θ = Adjacent / Hypothenus

Cos θ = 4/–5

Cos θ = –4/5

Cot θ = 1/ Tan θ

Tan θ = 3/4

Cot θ = 1 ÷ 3/4

Invert

Cot θ = 1 × 4/3

Cot θ = 4/3

Cosec θ = 1/ Sine θ

Sine θ = –3/5

Cosec θ = 1 ÷ –3/5

Invert

Cosec θ = 1 × –5/3

Cosec θ = –5/3

SUMMARY

Sine θ = –3/5

Cos θ = –4/5

Tan θ = 3/4

Cot θ = 4/3

Cosec θ = –5/3

Therefore, option B, C and D gives the correct answer to the question.

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