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

 NCERT Solution for Mathematics Textbook for Class 10 (2019 (Latest))
Chapter 8: Introduction to Trigonometry
Ex. 8.1 | Q: 11.5 | Page no. 181
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 10: Trigonometric Ratios
Ex. 10.1 | Q: 36.4 | Page no. 26
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 10: Trigonometric Ratios
Ex. 10.1 | Q: 36.4 | Page no. 26
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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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