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State whether the following are true or false. Justify your answer. sin θ = 4/3 for some angle θ.

 State whether the following are true or false. Justify your answer.   
 
sin θ = 4/3 for some angle θ.

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
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Answer is False
Justification:sin θ =Height/Hypotenuse
We know that in a right angled triangle, Hypotenuse is the longest side.∴sin θ will always less than 1 and it can never be4/3 for any value ofθ.
4/3=1.33333.... which is greater than 1.

Thanks

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