Answer :
[tex] \Large\mathbb{DIRECTOR\: GENERAL} [/tex]
To find the value of sin(2A) when A = 4°, we can use the double-angle formula for sine:
sin(2A) = 2sin(A)cos(A)
Given:
A = 4°
Step 1: Find sin(A) and cos(A)
sin(4°) = 0.0698 (approximately)
cos(4°) = 0.9976 (approximately)
Step 2: Apply the double-angle formula
sin(2A) = 2sin(A)cos(A)
sin(2 × 4°) = 2 × 0.0698 × 0.9976
sin(8°) = 0.1392 (approximately)
Step 3: Compare the value of sin(8°) with the given options
(1) 1/5√2 ≈ 0.1414 (incorrect)
(2) 2/√3 ≈ 0.1155 (incorrect)
(3) 1/2 = 0.5 (incorrect)
(4) 1 (incorrect)
None of the given options match the calculated value of sin(8°) ≈ 0.1392.
Therefore, the correct answer is not provided in the given options.