11. a) Given that 2 tan (2x - 3) = 1, show that tan 2x = 3. .
b) Hence, using the tangent double angle formula, find the exact value of tan x in surd
form, given that x is an acute angle.

The inside wheels of a car traveling on a circular path are rotating half as fast as the outside wheels. the front two wheels are six feet apart. what is the number of feet in the path traced by the inside front wheel in one trip around the circle? express your answer in the form "k \pi", where k is an integer.

Asquare is dilated by a scale factor of 1.25 to create a new square. how does the area of the new square compare with the area of the original square? a)the area of the new square is 1.25 times the area of the original square. b)the area of the new square is 2.50 times the area of the original square. c)the area of the new square is 1.252 times the area of the original square. d)the area of the new square is 1.253 times the area of the original square.

Enter the number of complex zeros for the polynomial function f(x) = x 4+ 5x² +6