Calculus Questions

1.

Find the exact value of the following Trigonometric function, by identifying the relevant right-angle triangle sin (cot'l (g) sec1(4)) \fA hyperbole has yertices (5,1) and (3,-1) and foci (-6,1) and {4,-1) a) (1 mark) Sketch the hyperbole b) Determine i. (1 mark) The centre of the hyperbole ii. [1 mark) Value of a and c iii. [1 mark) Standard equation of the hyperbole iv. (1 mark) Equations of the asymptote lines