Welcome to your Trigonometry II(Senior Class Math Study by Topics) NAME EMAIL PHONE NUMBER 1. Find a positive angle between 0° and 360° that is equivalent to -74° 336° 286° 125° 462° 2. Given that cos θ = -0.3420, where 180° ≤θ≤ 360° , find θ 345° 320° 250° 190° 3. Find the value ofsin 225° -1/√2 1/√2 √2 -√2 4. If sec θ = 17/8 and θ is a positive acute angle, find the value of csc θ using Pythagoras theorem. csc θ = 17/15 csc θ = 17/19 csc θ = 27/15 csc θ = 16/15 5. If sin 49° = 3/4, find the value of sin 581°. √7/4 √2 √3 √7 6. Solve the equation 4 cosx - 3 = 0 for 0° ≤x≤ 360° 63° 12.5° 234° 41.4° 7. If cos θ = 3/5, find the value of (5csc θ - 4 tan θ)/(sec θ + cot θ) 11/29 3/2 29/11 2/3 8. Solve the equation 3tan x - 5 = 2 for 0° ≤x≤ 360° 212° 18.94° 246.8° 88.6° 9. If 5 cot θ = 3, find the value of (5 sin θ - 3 cos θ)/(4 sin θ + 3 cos θ) 13/46 16/35 13/48 16/29 10. Find the angles between 0° and 360° whose cosine is 0.55119 245° 432° 10.5° 56.5° 11. Given thattanx = 5/12, what is the value of sinx + cosx? 17/13 13/17 17 13 12. Find the minimum value of cos2 θ + sec2 θ 2 -1 -2 1 13. Write the value of the angle in surd form sin 240° √3/2 -√2 √2 -√3/2 14. Find a positive angle between 0° and 360° that is equivalent to 775° 55° 117° 45° 237° 15. A ship P sails at an average speed of 50 km/h on a bearing of N35°E from a port R. At the same time another ship Q sails at an average speed of 40 km/h on a bearing of S25°W. How far are they after 4 hours? 45 km 359 km 234 km 112 km 16. Find the angles between 0° and 360° whose sine is -0.9781 235° 258° 23° 443° 17. Solve the equation 8 sin x = 3 for 0° ≤x≤ 360° 17° 100° 22° 98° 18. PQRS is a quadrilateral with dimensions shown belowCalculate the length of the diagonal PR 6cm 4 cm 10 cm 7 cm 19. Find, without using mathematical tables, the value ofcos30°sin120° + sin30°cos120° 0 1 2 1/2 20. Find the value of cosec 90° 0 -1 1 2 21. Simplify: cos2a cos a - 1 cos a 1- cos a 22. Write the value of the angle in surd form cos 300° 1/2 -√2 -√3/2 √2 23. Find the value of tan (-84)° -9.514 0.249 9.514 -0.294 24. Find a positive angle between 0° and 360° that is equivalent to -315° 124° 105° 45° 421° 25. Find the angles between 0° and 360° whose tan is -2.1445 295° 124° 97° 23° 1 out of 25