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

User Vladislav Ivanishin
by
2.8k points

1 Answer

24 votes
24 votes

9514 1404 393

Answer:

sin(∅) = -√65/65

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

User Ashish Kumar Verma
by
3.2k points
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