Assertion (A): The value of cosec\funcapply\theta=\frac{1}{19}is possible. Reason (R): The length of hypotenuse in a right

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Q.
Assertion (A): The value of $c o s e c θ = \frac{1}{19}$ is possible.

Reason (R): The length of hypotenuse in a right-angled triangle is always greater than opposite side (perpendicular).

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.
(4)

$c o s e c θ$ is defined as ratio of hypotenuse and opposite side (perpendicular). As hypotenuse is the largest side in any right-angled triangle, the value of $c o s e c θ$ cannot be less than 1. However, reason is true

Solution

Q.
Assertion (A): The value of $c o s e c θ = \frac{1}{19}$ is possible.

Reason (R): The length of hypotenuse in a right-angled triangle is always greater than opposite side (perpendicular).

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.
(4)

$c o s e c θ$ is defined as ratio of hypotenuse and opposite side (perpendicular). As hypotenuse is the largest side in any right-angled triangle, the value of $c o s e c θ$ cannot be less than 1. However, reason is true

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Solution

Q. Assertion (A): The value of cosec θ=119 is possible. Reason (R): The length of hypotenuse in a right-angled triangle is always greater than opposite side (perpendicular).

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. (4) cosec θ is defined as ratio of hypotenuse and opposite side (perpendicular). As hypotenuse is the largest side in any right-angled triangle, the value of cosec θ cannot be less than 1. However, reason is true

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Q.
Assertion (A): The value of $c o s e c θ = \frac{1}{19}$ is possible.

Reason (R): The length of hypotenuse in a right-angled triangle is always greater than opposite side (perpendicular).

Ans.
(4)

$c o s e c θ$ is defined as ratio of hypotenuse and opposite side (perpendicular). As hypotenuse is the largest side in any right-angled triangle, the value of $c o s e c θ$ cannot be less than 1. However, reason is true