Assertion (A): If cosec (90° - 3A) = 1; angle A is 30°. Reason (R): cosec (90° - 3A) = 1 ⇒ 90° - 3A = 90° ⇒ A = 0° 1. A is true, R is false. 2. A is false, R is true. 3. Both A and R are true. 4. Both A and R are false.

A is false, R is true. Explanation Given, cosec (90° - 3A) = 1 ⇒ cosec (90° - 3A) = cosec 90° ⇒ 90° - 3A = 90° ⇒ 3A = 90° - 90° ⇒ 3A = 0° ⇒ A = ⇒ A = 0° According to Assertion, A = 30° (≠ 0°) ∴ Assertion (A) is false. From the above calculation, cosec (90° - 3A) = 1 ⇒ 90° - 3A = 90° ⇒ A = 0° ∴ Reason (R) is true. Hence, Assertion (A) is false, Reason (R) is true.

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Mathematics

Assertion (A): If cosec (90° - 3A) = 1; angle A is 30°.
Reason (R):
cosec (90° - 3A) = 1
⇒ 90° - 3A = 90°
⇒ A = 0°
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.

Trigonometric Identities

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Mathematics

Assertion (A): If cosec (90° - 3A) = 1; angle A is 30°.
Reason (R):
cosec (90° - 3A) = 1
⇒ 90° - 3A = 90°
⇒ A = 0°
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.

Trigonometric Identities

Related Questions

Assertion (A): (2x - 3y, 8) = (2, x + 2y)
⇒ x = 1 and y = -2
Reason (R): 2x - 3y = 2 and x + 2y = 8
Solving we get : x = 4 and y = 2
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.

Mathematics

Assertion (A): If cosec (90° - 3A) = 1; angle A is 30°.Reason (R):cosec (90° - 3A) = 1⇒ 90° - 3A = 90°⇒ A = 0°A is true, R is false.A is false, R is true.Both A and R are true.Both A and R are false.

Trigonometric Identities

Related Questions

Assertion (A): (2x - 3y, 8) = (2, x + 2y)⇒ x = 1 and y = -2Reason (R): 2x - 3y = 2 and x + 2y = 8Solving we get : x = 4 and y = 2A is true, R is false.A is false, R is true.Both A and R are true.Both A and R are false.

Assertion (A): If cosec (90° - 3A) = 1; angle A is 30°.
Reason (R):
cosec (90° - 3A) = 1
⇒ 90° - 3A = 90°
⇒ A = 0°
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.

Assertion (A): (2x - 3y, 8) = (2, x + 2y)
⇒ x = 1 and y = -2
Reason (R): 2x - 3y = 2 and x + 2y = 8
Solving we get : x = 4 and y = 2
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.