The 4th degree Taylor polynomial for sin x centered at a = is given by sin x = 4 - ½ + √ √³ (x-7) - 1/(x-7)² - √3 (x − 1 )³ + 11 (x − 1)ª + R4(x). 3 4 π - 12 6 48 1 2 2 6 2 Using this, estimate sin 33° correct to five decimal places. 0.55914