Question

find the value of the following sin 49°​

Answer 1

Answer:

Let f(x) = sin x Now f’(x) = cos x Now f(x δx) - f(x) = f’(x).δx f(x δx) - f(x) = cos x . δx Putting x = 45°, δx = 4° = 4. 0.01745 radian = 0.0698 radian ( since 1° = 0.01745 radian) f(49°) - f(45°) = cos 45° . 0.0698 sin 49° - sin 45° = cos 45° . 0.0698 sin 49° - 1/√2 = 1/√2 . 0.0698 sin 49° - 0.707 = 0.707 . 0.698 sin 49° = 0.707 0.049 sin 49° = 0.756 (approx)