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Assertion : The value of sin 𝜃 = &' is not possible.Reason : Hypotenuse is the largest side in any right angled triangle.

Question

Assertion:

The value of sinθ=& \sin \theta = \&' is not possible.

Reason:

Hypotenuse is the largest side in any right angled triangle.

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Solution

Assertion: The value of sin 𝜃 = &' is not possible. Reason: Hypotenuse is the largest side in any right-angled triangle.

Step 1: Let's analyze the assertion. It states that the value of sin 𝜃 is equal to &' which is not possible.

Step 2: To understand why this is not possible, we need to consider the reason provided. The reason states that the hypotenuse is the largest side in any right-angled triangle.

Step 3: In a right-angled triangle, the hypotenuse is always the side opposite the right angle and is the longest side.

Step 4: The sine function (sin 𝜃) is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right-angled triangle.

Step 5: Since the hypotenuse is always the longest side, it cannot have a length equal to &' or any other value that is not a valid length.

Step 6: Therefore, the assertion that the value of sin 𝜃 = &' is not possible is correct based on the reason provided.

Conclusion: The assertion is true because the value of sin 𝜃 cannot be equal to &' due to the fact that the hypotenuse is always the largest side in any right-angled triangle.

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