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# HW9 - MAC1114 Homework 9 Due Thursday March 17 1 Find the...

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Unformatted text preview: MAC1114 - Homework 9 Due Thursday, March 17 1. Find the asymptotes (do not nd periods or sketch graphs) of the following functions: (a) 2 csc(3x − π ) 2 (b) sec( π x + π ) + 3 3 2 (c) 1 tan( 2 x − π ) 2 5 (d) − cot(7x − 3) 2. In the gure below, a square is inscribed in another square, and then a circle is inscribed in the smaller square. Point P is the center of the circle. The area of the larger square is 100. Find the area of the region shaded blue. (optional: If you're really industrious, try nding the area shaded green. It's an extremely dicult problem, but wrangling with it will build character) 3. Find sin(arccos(tan(arcsin(3y )))). 4. Simplify: log | cos2 x| − log |1 + sin x| + log | cot x| 5. Verify the identity: tan2 x − sec2 x = (sin x − 1) sec x. 1 + sin x 1 ...
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