For the following exercises, find the exact values of a) sin(x2), b) cos(x2), and c) tan(x2) without solving for x, when 0∘≤x≤360∘ 1. If sin x=, and x is in quadrant III.
2.If sec x=−4, and x is in quadrant II.

What is the 17th term in the arithmetic sequence in which a6 is 101 and a9 is 83

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)

Use the zero product property to find the solutions to the equation (x+2)(x+3)=12