Trigonometry questions | form four Basic Mathematics

Find Trigonometry examination questions, form four Basic Mathematics in acaproso.com

#	Question
1	Find the value of $frac{sin (150^{circ})cos(315^{circ})}{ an(300^{circ})}$ without using mathematical tables. Calculate the angles of a triangle which has sides 4m, 5m and 7m. Mathematical Calculation
2	Show that triangle ABC is right-angled where A = (-2,-1), B = (2,1) and C = (1,3). Mathematical Calculation
3	In the figure below, AE = 20 m, EB = $20sqrt{2}$ m and DAE= $45^{circ}$ . Find: The length: DE, AD and AB. The area of triangle ABE, leaving the answer in surd form. Mathematical Calculation
4	If $sin(x-20^{circ})=frac{sqrt{3}}{2}$ find the values of x for $0^{circ}leq xleq 180^{circ}$ . Mathematical Calculation
5	A kite flying at a height of 50m is attached to a string which makes an angle of 60° with the ground. What is the length of the string?. (Leave your answer in surd form). Mathematical Calculation
6	In the figure below, AE=20m, EB= $20sqrt{2}m$ and $DAE=45^{circ}$ . FInd: The length: DE,AD and AB The area of triangle ABE, leaving the answer in surd form. Mathematical Calculation
7	A river with parallel banks is 20m wide. If P and Q are two points on either side of the river, as shown in the figure below, find the distance PQ. Mathematical Calculation
8	In the triangle LMN, LM=5m, LN=6m and angle MLN=66°. Find MN. Mathematical Calculation
9	Given x is an accute angle and that $sin x=frac{P}{q}$ , find the value of $an x$ . Mathematical Calculation