1. Using calculus, prove that the angle subtended by a semicircle at the circum- ference is...

  

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1. Using calculus, prove that the angle subtended by a semicircle at the circum- ference is a right angle. 2. Using calculus, prove that the angle at the center is twice the angle at the circumference. 1. Using calculus, prove that the angle subtended by a semicircle at the circum- ference is a right angle. 2. Using calculus, prove that the angle at the center is twice the angle at the circumference.