Hits: 289
Hits: 289 Question The angle x, measured in degrees, satisfies the equation i. By expanding each side, show that the equation may be simplified to ii. Find the two possible values of x lying between and . iii. Find the exact value of , giving your answer as a fraction. Solution i. We are given; […]
Hits: 573 Question i. Show that the equation can be expressed as ii. Hence solve the equation , for . Solution i. We have; Using the relation ; We have the trigonometric identity; It can be written as; Therefore; Becomes; ii. As demonstrated in (i) we can write the equation as, To solve this equation for , let; Therefore can be […]
Hits: 624 Question In the diagram, triangle ABC is right-angled and D is the mid-point of BC. Angle and angle . Denoting the length of AD by , i. express each of AC and BC exactly in terms of , and show that . ii. show that . Solution i. Expression for trigonometric ratio in right-triangle […]
Hits: 1938 Question In the diagram, OPQ is a sector of a circle, centre O and radius r cm. Angle QOP= radians. The tangent to the circle at Q meets OP extended at R. i. Show that the area, Acm2, of the shaded region is given by . ii. In the case where and , evaluate the length […]