Trigonometry II(Senior Class Math Study by Topics) : GATE Academy

Welcome to your Trigonometry II(Senior Class Math Study by Topics)

NAME

PHONE NUMBER

1. Find a positive angle between 0° and 360° that is equivalent to -250°

283°

110°

74°

34°

2. Solve the equation
8 sin x = 3 for 0° ≤x≤ 360°

98°

22°

100°

17°

3. 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 = 25/24

csc θ = 23/24

csc θ = 1/4

4. Write the value of the angle in surd form sin 300°

√2

-√2

√3/2

-√3/2

5. Without using tables, find the value of

-1

6. Without using trigonometric tables, evaluate

\frac{t a n 65 °}{c o t 25 °}

-1

7. Find the value of

4/3 tan

^{2}

60° + 3 cos

^{2}

30° - 2 sec

^{2}

30° - 3/4 cot

^{2}

60°

11/3

7/3

10/3

8. Find the value of
sin 225°

√2

1/√2

-√2

-1/√2

9. If sec θ = 17/8 and θ is a positive acute angle, find the value of csc θ using Pythagoras theorem.

csc θ = 17/19

csc θ = 17/15

csc θ = 27/15

csc θ = 16/15

10. Write the value of the angle in surd form tan 315°

-√3

1/√3

-1

√3

11. Find the value of θ (0° ≤ θ ≤ 90°), when sin² θ - 3 sin θ + 2 = 0

80°

60°

90°

70°

12. Find a positive angle between 0° and 360° that is equivalent to -74°

336°

125°

286°

462°

13. Find the angles between 0° and 360° whose cosine is -0.518

34.3

238.8°

345.4

14. 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°

012.3°

058.8°

15. Solve the equation
4 cosx - 3 = 0
for 0° ≤x≤ 360°

63°

12.5°

41.4°

234°

16. Find the values of csc (-1650°)

-1

17. Find the angles between 0° and 360° whose tan is -2.1445

97°

124°

23°

295°

18. If sin (x + y) = 1 and cos (x - y) =

\frac{\sqrt{3}}{2}

, find x and y.

x = 30° and y = 90°

x = 21° and y = 48°

x= 60° and y =30°

x = 45° and y = 45°

19. Find the value of sec 210°

1/√2

-1/√2

√2

-√2

20. Solve the equation
4 + 7cosx = 0 for 0° ≤x≤ 360°

91°

34°

221°

124.8°

21. If sec 5θ = csc (θ - 36°), where 5θ is an acute angle, find the value of θ

21°

45°

46°

36°

22. Given that cos θ = -0.3420,
where 180° ≤θ≤ 360° , find θ

320°

190°

345°

250°

23. If sinθ = -5/13, where θ is an angle between 270° and 360°,
calculate , without using mathematical tables,
the values of sin2θ

169/120

-120/169

2/5

120/169

24. Simplify:

cosec x

tan x

cot x

sec x

25. Find the angles between 0° and 360° whose sine is 0.4226

25°

422.3°

324°

113°

26 out of 25

Trigonometry II(Senior Class Math Study by Topics)

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