28/03/2020 Trigonometry(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. If the radius of the earh is 6,370 km, the distance between two towns on latitudes 25°N and 20°S on the same meridian is (π = 22/7)6,006 km4,004 km3,185 km5,005 km2. If sin θ = a/b, where θ is an acute angle,then cot θ equals√(b²-a²)/ b√(b+a)(b-a)/ aa/ √(b²-a²)√(b/ b²-a²)3. Sin 38° has the same value ascos 308°sin 128°sin 218°sin (-38°)4. The difference in longitude betweenP(55°N, 12°W) and Q(15°S, 65°W) is53°70°77°40°5. 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 is2,502.5 km5, 005.0 km2,359.4 km4,718.8 km6. From a point P 30 m away from the foot of a tree, the angle of elevation of the top of the tree is 30°. From a point Q on the opposite side of the tree, the angle of elevation of the top of the three is 45°. The distance between P and Q is47.3 m42 m17.3 m50 m7. Points X and Y are respectively 48m North and 20m East of point Z, The bearing of X and Y is approximately337°157°067°247°8. The value of sin(870°) is1/2-1/2-√3/2√3/29. 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(56φ) cosθ°(111θ) cos φ°(222θ) cos φ°(111φ) cosθ°10. A triangle has sides of lengths y cm, (y-4) cm and (y+4) cm. If the largest angle of the triangle is cos-1 (1/5), find the value of y90/7 cm24 cm28 cm20 cm11. Each of two angles of an isosceles triangle is 30° and the longest side of the triangle is 9 cm. Each of the other sides is of length9/2 cm3√3 cm3√2 cm9√2/2 cm12. If cos θ = -½, the values of θ could be-60 or 240 degrees-60 or 120 degrees120 or 300 degrees120 or 240 degrees13. The value ofsin (870°) is0.866-0.8661/2-1/214. Two towns P(θ°N, 7°E) and Q(θ°N, 29°W) are separated by a distance of 2,002 km, measured along the parallel of latitude. If R = 6,370 km and π = 22/7, the value of θ is60°45°90°30°15. If cos θ = √3/2, evaluate (√3-2)/ 31/2(3-2√3)/ 3√3/2 -116. 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 = 22/7540km123km782km643km17. P and Q are two places on the equator. The shortest distance between them along the equator is 8500 km. Find the angle between P and Q. (Take R =6,370 km, π= 3.142)24°14°76.4°121°18. An observer on the ground views an airplane of altitude 1,000 m at an angle of elevation of 30°. How far is the plane from the observer?500 m1154.7 m1,000 m2,000 m19. 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?350 km300 km400 km200 km20. For any value of θ, the value ofis12sin²θcos²θ21. A bearing of 310°, expressed as a compass bearing isN 50°WS 50° WS 40° WN 40° W22. The hypotenuse of a right-angled isosceles triangle is 8 units. The length of each of the other sides are4(√2-1)44√24/√223. The values of tan 225° and tan 315° are respectively1 and 1-1 and -11 and -1-1 and 124. Amanda 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. What is her bearing from P to R?90°40°45°50°25. 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 approximately041°319°221°286°26 out of 25Time is Up!