Calculus Questions

Q1.

Find the exact value of the following Trigonometric function, by identifying the relevant right-angle triangle sin (cot'1 (g) SEC1(4)) \fA hyperbole has vertices (-5,1) and (3,1) and foci (6,-1) and (4,-1) a) (1 mark) Sketch the hyperbole )3) Determine i. [1 mark) The centre of the hyperbole ii. (1 mark) Value ofa and c iii. (1 mark) Standard equation of the hyperbole iv. (1 mark) Equations of the asymptote lines