Question

what is the value of sin29​

Answer 1

Answer: sin29°=0.48481

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Answer 2

Answer :

The nearest number to the sin 29 is sin 30,  

So, let us imagine that x = 30 and δx = dx = -1

Then,

Y = sin x …………….. (1)

Y + δy = sin (x + δx) ⇒ sin (x + δx) = y + δy …….. (2)  

Since,

Y = sin x,  

δy ≈ dy,  

Put those value in eq no. (2),  

Then ,

Sin (x + δx) ≈ sin x + δy …….. (3)

Take the difference of eq no. (1),

Then,

dy = d(sin x) = cos dx

Put those value in eq no. (2),

Then,

Sin (x + δx) ≈ sin x + cos x dx

Sin (30° - 1°) ≈ sin 30° + cos30° (-1°)  

∵x = 30°, dx = -1° = δx  

Sin 29° ≈ 0.5 + 0.866 (-0.0174)

(∵ 1° = 0.0174)

Sin 29° ≈ 0.5 - (0.866) × (0.0174)

Sin 29° ≈ 0.5 - 0.0151 = 0.4849

So,

The approx value of Sin 29° is 0.4849.

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