#### Question

State whether the following are true or false. Justify your answer.

sin θ =4/3, for some angle θ

#### Solution

sin Θ = 4/3

We know that in a right-angled triangle,

`sin theta = ("Side opposite to"angle theta)/"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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#### APPEARS IN

Solution State whether the following are true or false. Justify your answer. sin θ =4/3, for some angle θ Concept: Trigonometric Ratios.