02/04/2020Trigonometry II(Senior Class Math Study by Topics) 0Comments by Gate Academy Welcome to your Trigonometry II(Senior Class Math Study by Topics) NAME EMAIL PHONE NUMBER 1. If tan α = -4/3, find the value of (sin α + cos α).±1/2±4/5±2/3±3/52. Find a positive angle between 0° and 360° that is equivalent to 775°117°55°237°45°3. If sec θ = 17/8 and θ is a positive acute angle, find the value of csc θ using Pythagoras theorem.csc θ = 27/15csc θ = 17/19csc θ = 16/15csc θ = 17/154. Solve the equation 4 cosx - 3 = 0 for 0° ≤x≤ 360°12.5°41.4°234°63°5. Express cos (- 1555°) in terms of the ratio of a positive angle less than 30°.cos 15°sin 15°cos 25°-sin 25°6. PQRS is a quadrilateral in which, PS is parallel to QR. PQ = 16cm, SR = 15 cm and angle QPS = 60° and angle PSQ = 44°.Calculate <QRS67°64°24°57°7. Find the value of cos 200° sin 160° + sin (- 340°) cos (- 380°)-11208. Find the value of tan (-84)°-0.2940.2499.514-9.5149. Find the value of θ (0° ≤ θ ≤ 90°), when sin2 θ - 3 sin θ + 2 = 080°90°60°70°10. Find the value of cosec 90°01-1211. Given that tan θ = -2.361, where 0° ≤θ≤ 360° , findθ54.4°9°23°113°12. Find a positive angle between 0° and 360° that is equivalent to 650°23°44°290°124°13. If 3 tan θ = 4, evaluate (3sin θ + 2 cos θ)/(3sin θ - 2cos θ).214314. Find a positive angle between 0° and 360° that is equivalent to -250°74°34°283°110°15. Without using tables or any calculating device find the value of√2-1√3-1√2-3√2-216. A ship leaves port A and sails on a bearing of 040°. After 15 km the ship changes direction and sails on a bearing of 070°. If the ship sails a distance of 25 km on this bearing, find its bearing from port A289.4°083.2°012.3°058.8°17. If sin A + cos A = 7/5 and sin A cos A =12/25, find the values of sin A and cos A2/3, 4/53/5, 4/52/3, 1/33/5, 1/318. Find the value of sin 405°0.53210.32450.70710.845319. Find a positive angle between 0° and 360° that is equivalent to -315°105°45°421°124°20. PQRS is a quadrilateral with dimensions shown belowCalculate the length of the diagonal PR4 cm6cm10 cm7 cm21. In the triangle below find a 13 cm10.2 cm8.7 cm6 cm22. Find the minimum value of cos2 θ + sec2 θ-2-11223. If sin (x + y) = 1 and cos (x - y) = 3√232, find x and y.x = 45° and y = 45°x = 21° and y = 48°x= 60° and y =30°x = 30° and y = 90°24. Solve the equation 7 = 2 + 4tanx for 0° ≤x≤ 360°124°51.3°23.7°87°25. If sec 5θ = csc (θ - 36°), where 5θ is an acute angle, find the value of θ21°36°45°46°26 out of 25
