Assertion (A): If A = 30°, the value of 4 sin A sin (60° - A) sin (60° + A) = 1. Reason (R): 60° - A = 30° and 60° + A = 90°. 1. A is true, but R is false. 2. A is false, but R is true. 3. Both A and R are true, and R is the correct reason for A. 4. Both A and R are true, and R is the incorrect reason for A.

If A = 30°, 60° - A = 60° - 30° = 30° and 60° + A = 60° + 30° = 90°. So, reason (R) is true. sin A = sin 30° = sin (60° - A) = sin 30° = sin (60° + A) = sin 90° = 1 Substituting values in 4 sin A sin (60° - A) sin (60° + A), we get : ∴ Both A and R are true, and R is the correct reason for A. Hence, option 3 is the correct option.

Mathematics

Assertion (A): If A = 30°, the value of 4 sin A sin (60° - A) sin (60° + A) = 1.
Reason (R): 60° - A = 30° and 60° + A = 90°.
A is true, but R is false.
A is false, but R is true.
Both A and R are true, and R is the correct reason for A.
Both A and R are true, and R is the incorrect reason for A.

Trigonometrical Ratios

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Mathematics

Assertion (A): If A = 30°, the value of 4 sin A sin (60° - A) sin (60° + A) = 1.Reason (R): 60° - A = 30° and 60° + A = 90°.A is true, but R is false.A is false, but R is true.Both A and R are true, and R is the correct reason for A.Both A and R are true, and R is the incorrect reason for A.

Trigonometrical Ratios

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