Assertion (A): The sine of {90}^\circ\ is equal to 1. Reason (R): At {90}^\circ, the opposite

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Q.
$A s s e r t i o n (A) : T h e s i n e o f 90 ° i s e q u a l t o 1 .$

$R e a s o n (R) : A t 90 °, t h e o p p o s i t e s i d e o f t h e a n g l e b e c o m e s t h e h y p o t e n u s e .$

1 Both A and R are true, and R is the correct explanation of A.

2 Both A and R are true, but R is not the correct explanation of A.

3 A is true, but R is false.

4 A is false, but R is true

Ans.
(1)

The assertion is correct as the sine of $90 °$ is indeed 1.
The reason is also true and correctly explains why this is the case because at $90 °$ , the right triangle’s opposite side becomes the hypotenuse.

Solution

Q.
$A s s e r t i o n (A) : T h e s i n e o f 90 ° i s e q u a l t o 1 .$

$R e a s o n (R) : A t 90 °, t h e o p p o s i t e s i d e o f t h e a n g l e b e c o m e s t h e h y p o t e n u s e .$

1 Both A and R are true, and R is the correct explanation of A.

2 Both A and R are true, but R is not the correct explanation of A.

3 A is true, but R is false.

4 A is false, but R is true

Ans.
(1)

The assertion is correct as the sine of $90 °$ is indeed 1.
The reason is also true and correctly explains why this is the case because at $90 °$ , the right triangle’s opposite side becomes the hypotenuse.

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Solution

Q. Assertion(A):The sine of 90° is equal to 1. Reason(R):At 90°,the opposite side of the angle becomes the hypotenuse.

1 Both A and R are true, and R is the correct explanation of A.

2 Both A and R are true, but R is not the correct explanation of A.

3 A is true, but R is false.

4 A is false, but R is true

Ans. (1) The assertion is correct as the sine of 90°is indeed 1. The reason is also true and correctly explains why this is the case because at 90°, the right triangle’s opposite side becomes the hypotenuse.

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Q.
$A s s e r t i o n (A) : T h e s i n e o f 90 ° i s e q u a l t o 1 .$

$R e a s o n (R) : A t 90 °, t h e o p p o s i t e s i d e o f t h e a n g l e b e c o m e s t h e h y p o t e n u s e .$

Ans.
(1)

The assertion is correct as the sine of $90 °$ is indeed 1.
The reason is also true and correctly explains why this is the case because at $90 °$ , the right triangle’s opposite side becomes the hypotenuse.