Trigonometry Answers

If f(x) = 4X + 2X^2, find f^!(x) from the first principle and hence find the value of a given that f^!(a) = 5

Given that A is obtuse and B is reflex angles and sin A=12/13 and cosB=3/5 without using calculators, evaluate tan(A+B)

Find the smallest value of parameter alpha such that equation

(sin(x))^2 * cos(2x) + alpha*(cos(x)^4-sin(x)^4)= -10(2* alpha +1)^2

has at least one real solution.

(a) Find the value of m if the angle between a(3,m) and b (2,-1)is 360 degrees

/ 3marks

(b) Find the longest side of right triangle whose other sides is:(√2+1)cm and (√2-1)cm long

Find the angle of elevation to the top of a 56 m high building from point A which is 113 m

from its base. What is the angle of depression from the top of the building to A? /6mks

(b) The expression 6x^2+ x +7 leaves the same remainder when divided by x – m and by x+2m,

where m ≠ 0. Calculate the value of m./4mks

A plane flies from Entebbe towards Kiko for 596 km on a bearing of 232 degrees. It then flies from Kikoto Daro for 880 km on a bearing of 258 degrees. It finally flies to Haraka for 458 km on a bearing of 346 degrees from Daro.

(a) How far north or south of Entebbe is /15mrks

(i) Kiko (ii) Haraka?

(b) How far west or east of Entebbe is Haraka?

(c) Calculate the bearing of Haraka from Entebbe

7.

Annett, starting from a point A, walks 8km on bearing of 2650

to a point B. From B she walks on

bearing of 1350

for 9km to a point C. Find the bearing of A from C.

The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet tall. How far up the wall does the ladder reach?

Sin2+ sin3