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. Without using tables or any calculating device find the value of√2/2 cos15° + √2/2 sin15° √3/2 √2/2 √2/5 √2 2. Find the angles between 0° and 360° whose cosine is 0.55119 432° 10.5° 245° 56.5° 3. If cos θ = 3/5, find the value of (5csc θ - 4 tan θ)/(sec θ + cot θ) 3/2 11/29 29/11 2/3 4. Find the value of cos 200° sin 160° + sin (- 340°) cos (- 380°) -1 2 1 0 5. Without using trigonometric tables, evaluate sin 35° sin 55° - cos 35° cos 55° 2 -1 0 1 6. Find angle a° 72° 27° 40.3° 50.1° 7. Write the value of the angle in surd form cos 150° 1/2 √2 -√3/2 8. 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 10/3 7/3 3 9. Find the value ofsin 225° √2 -1/√2 1/√2 -√2 10. Find the angles between 0° and 360° whose sine is -0.9781 235° 23° 443° 258° 11. Find the value of cosec 90° -1 1 2 0 12. Solve the equation 3tan(x + 25°) = -0.8391 for 0° ≤x≤ 360° 319.4° 12.6° 45° 213° 13. If 5 cot θ = 3, find the value of (5 sin θ - 3 cos θ)/(4 sin θ + 3 cos θ) 13/46 13/48 16/29 16/35 14. 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 = 1/8 sin θ = -1/7 15. Simplify: cot x cosec x sec x tan x 16. Given that cos θ = -0.3420, where 180° ≤θ≤ 360° , find θ 250° 320° 345° 190° 17. If θ is a positive acute angle and sec θ = 25/7, find the value of csc θ using trigonometric identity. csc θ = 25/27 csc θ = 1/4 csc θ = 25/24 csc θ = 23/24 18. Solve the equation 4 cosx - 3 = 0 for 0° ≤x≤ 360° 63° 12.5° 41.4° 234° 19. If (sec θ + tan θ)/(sec θ - tan θ) = 209/79, find the value of θ. 21 31.23 23.45 26.83 20. Without using tables or any calculating device find the value ofsin35°cos5° - cos35°sin5° 1/2 -1 1 0 21. Simplify the expression 1 1/2 -1 0 22. Given that sin(A+B) = sinA cosB + cosA sinB, without using mathematical tables or calculator, evaluate sin 105°. √2/3 √6/4+ √2/4 √5/6 + √3/6 √3/2 23. Find the value of √3/3 2/√3 √3 √3/2 24. 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/ 20 cm 50 cm 30 cm 40 cm 25. Find the value of θ (0° ≤ θ ≤ 90°), when sin2 θ - 3 sin θ + 2 = 0 80° 90° 60° 70° 1 out of 25