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satela [25.4K]
3 years ago
9

Find the value of each expression using the given information cot∅=8, csc<0 find sin ∅

Mathematics
1 answer:
Oksana_A [137]3 years ago
6 0

9514 1404 393

Answer:

  sin(∅) = -√65/65

Step-by-step explanation:

The identities that relate the cotangent, the cosecant, and the sine are ...

  csc² = 1 +cot²

  sin = 1/csc

_____

For the given values, we find ...

  csc(∅)² = 1 +cot(∅)² = 1 +8² = 65

  csc(∅) = -√65 . . . . . . . . . . . . . . . . square root with attention to sign

  sin(∅) = -1/√65 = (-√65)/65

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