Question

cos55 degree ka solucation with proof giving the answer fast

Answer 1

Answer on Question #62084 – Math – Trigonometry

Question

cos55 degrees a solucation with proof giving the answer fast.

Solution

Given

$$\cos 55{}^{\circ} = \cos \left(\frac {\pi}{180} \times 55\right) = \cos \left(\frac {11\pi}{36}\right).$$

Using Taylor’s formula for

$$\cos x = 1 - \frac {x ^ {2}}{2 !} + \frac {x ^ {4}}{4 !} - \frac {x ^ {6}}{6 !} + \dots$$

and substituting $x = \frac{11\pi}{36}$ obtain

$$\cos (55{}^{\circ}) = 0.57357643635 \dots$$

Answer: 0.57357643635.

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