Question

(a) Find a (to the nearest degree) in A ABC below. (b) Given that find tan(105°). Present your answer in fully simplified exact form. i) 2 partitions; ii) 5 function

values. Give your answers to 3 decimal places. \tan (x+y)=\frac{\tan (x)+\tan (y)}{1-\tan (x) \tan (y)} \text { (c) Approximate } \int_{-4}^{4}\left(2^{x}+2^{-x}\right) d x \text { using the trapezoidal rule with }

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6

Fig: 7

Fig: 8

Fig: 9