find out in degree if theta = 5/7
Answers
Answer:
Lets draw the right angle triangle with the above mentioned details
Given thing are
Sin Θ = 5/7
we know that Sin Θ = Opposite Side/Hypotenuse, so we get
Opposite Side = 5
Hypotenuse = 7
Hypotenuse : BC = 7
Adjacent Side : AB = ? (Adjacent to ∠ Θ)
Opposite Side : AC = 5 (Opposite to ∠ Θ)
To find the Adjacent Side - AC , we use Pythagoras theorem ((Hypotenuse)2 = (Leg 1)2 + (Leg 2)2)
AB = √ BC2 - AC2
AB = √ 72 - 52
AB = √ 49 - 25
AB = √ 24
Now we will try to simplify square root of 24 and we get (2 x 2 x 2 x 3). Take out pairs and we get
AB = 2 √ 2 x 3
AB = 2 √ 6
So Sin, Cos and Tan will be as follows -
Sin Θ = Opposite Side / Hypotenuse
Sin Θ = 5 / 7
Tan Θ = Opposite Side / Adjacent Side
Tan Θ = 5 / 2 √ 6
Cos Θ = Adjacent Side / Hypotenuse
Cos Θ = 2 √ 6 / 7
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