Welcome to your Trigonometry II(Senior Class Math Study by Topics) NAME EMAIL PHONE NUMBER 1. If 3 tan θ = 4, evaluate (3sin θ + 2 cos θ)/(3sin θ - 2cos θ). 3 4 2 12. 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? 234 km 112 km 359 km 45 km3. Find the values of csc (-1650°) 0 1 -1 24. Find the angles between 0° and 360° whose cosine is 0.55119 432° 56.5° 10.5° 245°5. Find a positive angle between 0° and 360° that is equivalent to -74° 125° 336° 286° 462°6. If sin p = 3/5, where 0° < p < 90°, find the value of 2 1 7 07. Simplify the expression -1 0 1 1/28. Without using tables or any calculating device find the value of √3-1 √2-2 √2-1 √2-39. Solve the equation 3tan x - 5 = 2 for 0° ≤x≤ 360° 88.6° 246.8° 212° 18.94°10. Solve the equation 4 sin x = -1 for 0° ≤x≤ 360° 73.4 244.2 194.5 2311. Find a positive angle between 0° and 360° that is equivalent to -65.8° 294.2° 53.4° 386° 342°12. In the diagram below , WXYZ is a cyclic quadrilateral in which WZ = 6cm, ZY = 8.5cm and the diagonal WY = 10 cm. If XW = XY, calculate <XYW 78° 43° 18° 53°13. Find the minimum value of cos2 θ + sec2 θ -1 -2 2 114. Solve the equation 7 = 2 + 4tanx for 0° ≤x≤ 360° 23.7° 51.3° 87° 124°15. If sinθ = -5/13, where θ is an angle between 270° and 360°, calculate , without using mathematical tables, the values of cos3θ 2/3 234/6445 22/754 828/219716. Find the values of cos (-11π/3) -1 0 1/2 117. Find the value of tan 240° √2 1/√2 1/√3 √318. 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 16/29 13/4819. Find the value of -sin78.5° -0.9799 0.9799 0.7342 -0.734220. 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 /QS/ 30 cm 20 cm 40 cm 50 cm21. Find the value ofsin 225° -√2 -1/√2 √2 1/√222. Find the value of cos (-45)° 0.8712 0.4335 -0.7071 0.707123. Without using trigonometric tables, evaluate sin 35° sin 55° - cos 35° cos 55° 1 0 2 -124. If sin 49° = 3/4, find the value of sin 581°. √3 √7/4 √2 √725. Given that sin(A+B) = sinA cosB + cosA sinB, without using mathematical tables or calculator, evaluate sin 105°. √5/6 + √3/6 √2/3 √6/4+ √2/4 √3/226 out of 25
