Welcome to your Trigonometry(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. Two cities London and Lagos are on latitude 60°N and their longitudes are 17°W and 28°E respectively. If R = 6,370 km and π = 22/7, the distance between London and Lagos, measured along the parallel of latitude is 4,718.8 km 2,359.4 km 5, 005.0 km 2,502.5 km 2. Two of the angles of a triangle are 120° and 45°. If the side facing the angle 45° is 10cm long,then the side facing the angle 120° is 20 cm 5√6 cm 5√3 cm 10√2 cm 3. An airplane flies 100 km on a bearing of 330° and then flies 300 km due West. How far West of the starting point is the plane? 400 km 300 km 200 km 350 km 4. An aircraft flies from Jordan(30°S, 44°E) to Riyadh(30°S, 28°W) in 26/3 hours. If radius of the earth is 6,370 km, π = 22/7, and the plane flies along the parallel of latitude, its average speed, to the nearest kilometer is 462 km/h 800 km/h 770 km/h 620 km/h 5. For any value of θ, the value ofis cos²θ 1 sin²θ 2 6. sin 38° has the same value as sin 218 cos 308 sin (-38) sin 128 7. The value of (sin35°/cos 55°) + (cos 15°/ sin 75°) is -2 2 1 0 8. The values of tan 225° and tan 315° are respectively 1 and -1 -1 and -1 -1 and 1 1 and 1 9. The value of is 2 1 0 -2 10. Two locations on the parallel of latitude φ°S have a difference in longitude of θ°.If R = 6,370 km and π=22/7, the distance between the two locations in km, is approximately (111θ) cos φ° (222θ) cos φ° (111φ) cosθ° (56φ) cosθ° 11. If the bearing of New York from Kansas city is 125°, the bearing of Kansas city from New York is? 215° 55° 305° 235° 12. Point P(60°S,22°E) lies on the same latitude as point Q. If the distance PQ measured along the parallel of latitude is 5,oo5 km, the radius of the earth is 6.370 km and π = 22/7, the longitude of point Q is 67°E 68°W 30°W 30°E 13. The value ofsin (870°) is 1/2 -0.866 0.866 -1/2 14. The angle of elevation of the top of a tree from a point P and the ground is 30°. From a point Q, 10 m closer to the foot of the tree, the angle of elevation is 45°.How tall is the tree? 5(√3 + 2) m 10√3 m 10√2 m 5(√3 + 1) m 15. The value of1 + sec²60° is 5 2 1/3 2 4 16. The value of 2cos 270° + sin 270° is 0 1 -1 -2 17. Points X and Y are respectively 48m North and 20m East of point Z. The distance /XY/ is 44m 60m 68m 52m 18. Starting from town X(45°N, 17°E), an airplane flies to town Y(45°N, 47°E) along the parallel of latitude and later to a third town Z(60°N, 47°E) along the meridian.(R = 6,370 km, π= 22/7). The distance between Y and Z along the meridian is 2,502 1/2 km 5,005 km 3,336 2/3 km 1,668 1/3 km 19. A motorist travels from Abuja on a bearing of 150° to Kaduna 40 km away. From Kaduna he travels to Lagos on a bearing of 210°.If Lagos is located directly South of Abuja, how far is Lagos from Abuja? 40 km 80 km 40√2 km 40√3 km 20. If 4 sin²θ - 3 = 0, the value of θ for 0° < θ < 90° is 90 degrees 60 degrees 45 degrees 30 degrees 21. Sin 38° has the same value as cos 308° sin (-38°) sin 128° sin 218° 22. If sin θ = x, the value of tan θ for 0° < θ < 90° is x/x-1 x/√(x²-1) x/√(x²-1) 1-x 23. Two locations on the equator are on longitudes 20°W and 70°E respectively. If R = 6,370 km and π = 22/7, their distance apart along the equator, correct to 2 significant figures is 15,000 km 5,600 km 10,000 km 11,000 km 24. Three cities Cape Town, Prague and Tbilisi are such that Prague is located 50 km away from Cape Town on a bearing of 065°.Tbilisi is 100 km away from Cape Town on a bearing of 305°. The bearing of Tbilisi from Prague is approximately 286° 041° 221° 319° 25. If there is no stop-over at Dubai, and the average speed of the airplane is 500km/hr, the total time taken for the plane to fly from Lagos to Kuala Lumpur via Dubai is approximately 10 h 7 h 8 h 5 h 1 out of 25 Time is Up! Time's up