1. Without using mathematical tables or calculator, find, in surd form (radicals), the value of tan⁡22.5

2. a. A point P divides the straight line joining X(1, -2) and Y(5, 3) internally in a ratio 2:3. Find the
(a) coordinates of P.
(b) equation of the straight line that passes through N(3, -5) and P.

b. Simplify: 1−25−3−1+25+3

3. Without using mathematical tables or calculator, find, in surd form (radicals), the value of tan⁡22.5∘.