हिंदी

State whether the following are true or false. Justify your answer. sin θ = 43, for some angle θ. - Mathematics

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प्रश्न

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

sin θ = `4/3`, for some angle θ.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

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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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Introduction to Trigonometry - Exercise 8.1 [पृष्ठ १८१]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 10
अध्याय 8 Introduction to Trigonometry
Exercise 8.1 | Q 11.5 | पृष्ठ १८१
आरडी शर्मा Mathematics [English] Class 10
अध्याय 10 Trigonometric Ratios
Exercise 10.1 | Q 36.4 | पृष्ठ २६

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