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). ±4/5 ±1/2 ±2/3 ±3/5 2. If tan θ + sec θ = 2/√3 and θ is a positive acute angle, find the value of sin θ. sin θ = 1/8 sin θ = -1/8 sin θ = -1/7 sin θ = 1/7 3. If sin A + cos A = 7/5 and sin A cos A =12/25, find the values of sin A and cos A 2/3, 1/3 3/5, 4/5 3/5, 1/3 2/3, 4/5 4. Given that 2sin(θ-45°) = cos(θ+45°),find the value of tanθ -1 1/2 0 1 5. Find the value of sin 250° -0.9397 -0.2232 -0.4238 0.4328 6. Find the value of cos 200° sin 160° + sin (- 340°) cos (- 380°) 2 -1 0 1 7. Solve the equation 4 cosx - 3 = 0 for 0° ≤x≤ 360° 63° 41.4° 12.5° 234° 8. Without using tables or any calculating device find the value of√2/2 cos15° + √2/2 sin15° √2 √2/5 √2/2 √3/2 9. The sine of an angle is given as -0.8065 and its tangent is positive. If the angle lies between 0° and 360° , find the angle 42° 233.8° 53° 244° 10. Express cos (- 1555°) in terms of the ratio of a positive angle less than 30°. sin 15° cos 25° -sin 25° cos 15° 11. In the triangle below find a 10.2 cm 13 cm 6 cm 8.7 cm 12. Write the value of the angle in surd form cos 45° √3/2 √2 √3 √2/2 13. Find the value of cos (-45)° 0.4335 0.8712 0.7071 -0.7071 14. Without using tables or any calculating device find the value of √2-2 √2-1 √2-3 √3-1 15. Find the value ofsin 225° √2 -1/√2 1/√2 -√2 16. 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 A 289.4° 083.2° 058.8° 012.3° 17. 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 <QRS 64° 67° 24° 57° 18. Find the angles between 0° and 360° whose sine is 0.4226 113° 25° 422.3° 324° 19. Find a positive angle between 0° and 360° that is equivalent to -315° 45° 105° 124° 421° 20. Find the value of θ (0° ≤ θ ≤ 90°), when sin2 θ - 3 sin θ + 2 = 0 70° 80° 60° 90° 21. Find the value of tan (-84)° -9.514 -0.294 0.249 9.514 22. 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° 18° 53° 43° 23. If cos θ = 3/5, find the value of (5csc θ - 4 tan θ)/(sec θ + cot θ) 3/2 2/3 29/11 11/29 24. Without using trigonometric tables, evaluate sin 35° sin 55° - cos 35° cos 55° 1 2 0 -1 25. If sin (x + y) = 1 and cos (x - y) = <span id="MathJax-Element-21-Frame" class="MathJax" style="font-style: normal;font-weight: 400;line-height: normal;font-size: 15px;text-indent: 0px;text-align: left;text-transform: none;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;padding: 0px;margin: 0px;color: #000000;font-family: Verdana, Geneva, sans-serif;background-color: #ffffff" role="presentation" data-mathml="32">3√232, find x and y. x = 30° and y = 90° x = 21° and y = 48° x = 45° and y = 45° x= 60° and y =30° 1 out of 25