MATH 150 Midterm: MATH 150 KSU Exam 1 U15

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Show all work and simplify when possible for full credit. Name: (4 points) given a circle with circumference of 300 feet, what is the arc length of a sector subtended by a central angle of. 5 radians: (4 points) given a circle with circumference of 300 feet, what is the area of the sector subtended by an angle of. 5 radians: (5 points) solve abc, where ab=bc=20 meters and b = 36 . 1: (4 points) give the equation of a circle with diameter whose end points are (5,-6) and (-7,20), (4 points) given the vectors ~u=(cid:20) 2. 2: (5 points) find all 6 values of trig functions of where csc = 8 and is in quadrant ii: (3 points) give the exact value for cos. 3: (3 points) give the exact value for sin 65 . 6: (5 points) prove the identity (1 cos2 x)(tan x + cot x)=tan x.

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