Welcome to your Trigonometry(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. Sin 38° has the same value assin 218°sin 128°sin (-38°)cos 308°2. Given that tan²θ + sec²θ = 3, the value of θ (for 0°<θ<90°) is30 degrees45 degrees90 degrees60 degrees3. Toronto is on a bearing of 225°from Georgia. Texas is directly North of Toronto and directly West of Georgia. If Texas is located 20 km away from Georgia, how far is Toronto from Georgia20 km30 km40 km20√2 km4. The latitudes on which the radius of the parallel of latitude is one-half of the earth's radius are60°N and 30°S30°N and 30°S60°N and 60°S30°N and 60°S5. 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 is4,718.8 km2,502.5 km2,359.4 km5, 005.0 km6. An observer standing on the top of a building 40 m high views a stone on the ground level at an angle of depression of 38°. The distance of the stone from the foot of the building in metres, is equal to40 sin 38°40 cot 38°40 tan 38°40 cos 38°7. 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√2/2 cm3√2 cm3√3 cm9/2 cm8. Given that cos²θ - sin²θ = 1/8, find the value of tan θ3√7√7√7/33/√79. sin 38° has the same value assin (-38)sin 128cos 308sin 21810. A rhombus has a side of length 5cm. If one of the angles of the rhombus is 60°, the longer diagonal is of length5√3 cm5√2 cm10√3/3 cm10 cm11. 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 is17.3 m47.3 m42 m50 m12. If sin θ = a/b, where θ is an acute angle,then cot θ equals√(b²-a²)/ b√(b+a)(b-a)/ a√(b/ b²-a²)a/ √(b²-a²)13. The angle between latitudes 47°S and 21°N is68°26°34°78°14. A tree on the bank of a river is 24 m tall. If the angle of depression of a point on the opposite bank of the river is 30°, the width of the river is24 m12 m41.569 m13.856 m15. The values of tan 225° and tan 315° are respectively-1 and 11 and 11 and -1-1 and -116. Two places A and B are on the equator. The longitude of A and B are 25°W and 42°E, respectively. Find the distance between them along the equator.2454km7490km230km1220 km17. If cos θ = 4/5, then for 0° < θ < 90°, tanθ is equal to5/33/44/35/418. 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 X and Y along the parallel of latitude in km, is5,005√3/ 25,005√2/ 35,0055,005√2/ 319. If sin θ = x, the value of tan θ for 0° < θ < 90° isx/x-11-xx/√(x²-1)x/√(x²-1)20. If m and n are the lengths of the diagonals of a rhombus of side x, andm² + n² = kx², the value of k is432121. The hypotenuse of a right-angled isosceles triangle is 8 units. The length of each of the other sides are44√24(√2-1)4/√222. 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 P42.4 km30 km25.2 km38.6 km23. 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°24. The angle of elevation of the top of a tower from an observer on the ground is 60°. If the top of the tower is 100 m away from the observer, how high is the tower?50 m86.6 m200 m173.2 m25. 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 km300 km200 km350 km26 out of 25Time is Up!