28/03/2020Trigonometry(Senior Class Maths Study by Topics) 0Comments by Gate Academy Welcome to your Trigonometry(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. Given that sin θ = √3/2 and cos θ = -½. The value of θ is 120 degrees 150 degrees 240 degrees 300 degrees2. The value of (sin35°/cos 55°) + (cos 15°/ sin 75°) is 0 -2 1 23. A hunter on the ground observes a bird perching on a tree on a bearing of S15°W. The bearing of the hunter from the bird is N75°W N15°E N15°W N75°E4. If tan θ = 5/12,then the value of sin θ - cos θ is 5/13 12/13 7/13 - 7/135. If sin θ = x, the value of tan θ for 0° < θ < 90° is x/x-1 x/√(x²-1) x/√(x²-1) 1-x6. From the top of a 100m high building, a man observes the top of a tree at an angle of depression of 30°. If the tree is 50 m tall, the angle of depression of the foot of the tree as viewed by the man is tan-1(√3/2) tan-1(√3) tan-1(2√3/2) tan-1(2√3)7. 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° (56φ) cosθ° (111φ) cosθ° (222θ) cos φ°8. 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? 80 km 40 km 40√3 km 40√2 km9. Given that tan²θ + sec²θ = 3, the value of θ (for 0°<θ<90°) is 90 degrees 45 degrees 60 degrees 30 degrees10. The angle of depression of a boat from the midpoint of a vertical cliff is 35°. If the boat is 120 m from the foot of the cliff, calculate the height of the cliff. 168 m 1.74 m 16.8 m 174 m11. 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°12. A young man 1.7 m tall, while standing, measures the angle of elevation of the top of a pole as 40°. If he is 15 m from the pole, what is the height of the pole? 9 m 20.2 m 14.3 m 12.5 m13. sin 38° has the same value as sin (-38) cos 308 sin 128 sin 21814. The two perpendicular sides of a right-angled triangle are 9 cm and 12 cm in length. The smallest angle of the triangle is 36 degrees 36.9 degrees 30 degrees 53.1 degrees15. The bearing of N75°W can also be expressed as 225° 075° 165° 285°16. Cotonou and Niamey are on the same line of longitude and Niamey is 7°N of Cotonou. If the radius of the earth is 6400 km, how far is Niamey North of Cotonou along the line of longitude in km, π = 22/7 123km 643km 540km 782km17. If sin-¹(0.966) = 75°, then sin-¹(-0.966) equals 105 or 255 degrees 195 or 285 degrees 75 or 105 degrees 255 or 285 degrees18. If cos θ = 4/5, then for 0° < θ < 90°, tanθ is equal to 4/3 3/4 5/4 5/319. 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 10√2 cm 20 cm 5√3 cm 5√6 cm20. The pilot of an airplane flying at an altitude of 2 km observes a landmark at an angle of depression of 25°. A few seconds later, he observes the landmark at an angle of depression of 50°. The distance between the two points of observation in km is 2(cot 25° - cot 50°) 2(tan 50° - tan 25°) 2(cos 25° - cos 50°) 2(sin 50° - sin 25°)21. A girl walks 30 m from a point P on a bearing of 040º to a point Q. She then walks 30 m on a bearing of 140º to a point R. How far is R from P 42.4 km 30 km 25.2 km 38.6 km22. A ladder of length 5m rests against a vertical wall and makes an angle 30° with the wall. How far is the foot of the ladder from the wall? 4.33 m 7.07 m 5 m 5/2 m23. Given that cot θ = m/n,cosec θ equals √(m/n) n/m 1/n (n²+m²) 1/n √(n²+m²)24. Without using tables, evaluate sin(- 1320°) 0.866 -0.866 1/2 -1/225. If tan θ = 2/3, then sec²θ equals 4/13 13/4 13/9 9/1326 out of 25Time is Up!