02/04/2020 Trigonometry II(Senior Class Math Study by Topics) 02/04/2020 0Comments by Gate Academy Welcome to your Trigonometry II(Senior Class Math Study by Topics) NAME EMAIL PHONE NUMBER 1. Solve the equation 4 + 7cosx = 0 for 0° ≤x≤ 360° 221° 34° 124.8° 91° 2. Find the value of -sin78.5° -0.7342 0.9799 0.7342 -0.9799 3. Find the value of sin 145° 0.3455 0.5643 0.5736 0.2356 4. Find the value of cosec 90° -1 0 1 2 5. Given thattanx = 5/12, what is the value of sinx + cosx? 17/13 17 13/17 13 6. PQRS is a quadrilateral with dimensions shown belowCalculate the size of <PSR 118° 13° 94° 23° 7. If sin 49° = 3/4, find the value of sin 581°. √2 √7/4 √7 √3 8. If sin A + cos A = 7/5 and sin A cos A =12/25, find the values of sin A and cos A 3/5, 4/5 3/5, 1/3 2/3, 4/5 2/3, 1/3 9. Without using tables, find the value of -1 2 2 1 10. Find the value of 4/3 tan<span id="MathJax-Element-5-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="2">²60° + 3 cos<span id="MathJax-Element-6-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="2">²30° - 2 sec<span id="MathJax-Element-7-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="2">²30° - 3/4 cot<span id="MathJax-Element-8-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="2">²60° 11/3 7/3 3 10/3 11. 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/ 40 cm 50 cm 30 cm 20 cm 12. 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 = 27/15 csc θ = 17/19 csc θ = 16/15 13. Without using trigonometric tables, evaluate <span id="MathJax-Element-10-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="tan65°cot25°">tan65°/cot25° 1 0 2 -1 14. Find the value of tan (-84)° -9.514 0.249 9.514 -0.294 15. Solve the equation 8 sin x = 3 for 0° ≤x≤ 360° 17° 100° 98° 22° 16. 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 53° 43° 18° 78° 17. 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 244° 42° 233.8° 53° 18. Given that sin(θ+α) = sinθcosα + cosθsinα, find the value of sin 75° 1/4 (√6+√2) 2 (√6+√2) 4 (√6+√2) 1/2 (√6+√2) 19. If tanx = 12/5, find the value of sinx, 0° ≤ x ≤ 90° 22/45 2/3 12/13 17/18 20. 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 = 1/7 sin θ = -1/7 sin θ = -1/8 21. Find the value ofsin 225° 1/√2 -√2 -1/√2 √2 22. Write the value of the angle in surd form cos 300° 1/2 -√3/2 √2 -√2 23. Find the values of cot (- 855°) 2 1 0 -1 24. If sin x = 12/13, where 0° < x < 90°,find the value of 1 - cos²x. 121/100 169/144 100/121 144/169 25. If 5 cot θ = 3, find the value of (5 sin θ - 3 cos θ)/(4 sin θ + 3 cos θ) 13/48 13/46 16/35 16/29 1 out of 25