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Question
State whether the following are true or false. Justify your answer.
sin θ = `4/3`, for some angle θ.
Options
True
False
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Solution
This statement is False.
Explanation:
sin θ = `4/3`
We know that in a right-angled triangle,
sin θ = `("Side opposite to ∠θ")/"Hypotenuse"`
In a right-angled triangle, hypotenuse is always greater than the remaining two sides. Therefore, such value of sin θ is not possible.
Hence, the given statement is false.
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