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8 points! Please help me with this problem, what is sin(theta)?

8 points! Please help me with this problem, what is sin(theta)?-example-1
User Ionel POP
by
7.9k points

2 Answers

5 votes

Answer:


(√(17) )/(7)

Explanation:

Given

cosΘ =
(4√(2) )/(7) =
(adjacent)/(hypotenuse)

Then the hypotenuse of the right triangle is 7 and the adjacent side is 4
√(2)

To find the opposite side use Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

opp² + (4
√(2) )² = 7²

opp² + 32 = 49 ( subtract 32 from both sides )

opp² = 17 ( take the square root of both sides )

opp =
√(17)

Hence

sinΘ =
(opposite)/(hypotenuse) =
(√(17) )/(7)

User Gavin Campbell
by
8.2k points
3 votes

sin=√17/7

or sin=sqrt(17)/7

User William Leader
by
7.7k points

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