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State whether the following are true or false. Justify your answer. sin θ =4/3, for some angle θ - CBSE Class 10 - Mathematics

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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

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 8: Introduction to Trigonometry
Ex.8.10 | Q: 11.5 | Page no. 181
Solution State whether the following are true or false. Justify your answer. sin θ =4/3, for some angle θ Concept: Trigonometric Ratios.
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