Given-that-1-0-017-rad-Use-f-a-sin-a-to-find-an-approximate-value-for-sin-29-

Question Number 12132 by tawa last updated on 14/Apr/17

Given that 1 ° = 0.017 rad

Use f (a) = \sin (a) to find an approximate value for \sin (29) ° .

Answered by mrW1 last updated on 14/Apr/17

\frac{Δ y}{Δ x} = \frac{f (x + Δ x) - f (x)}{Δ x} \approx \frac{d y}{d x}

\Rightarrow f (x + Δ x) \approx f (x) + \frac{d y}{d x} Δ x

y = f (x) = \sin x

\frac{d y}{d x} = \cos x

\sin 29 ° = \sin (30 - 1) \approx \sin 30 ° + \frac{d y}{d x} \times Δ x

= \frac{1}{2} - \frac{\sqrt{3}}{2} \times 0.0175 = 0.4848

Commented by tawa last updated on 14/Apr/17

wow, God bless you sir

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