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

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

NAME

EMAIL

PHONE NUMBER

1. Find the value of tan 158°

1.3732

0.9362

-0.4040

-0.7071

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

26

345.4

238.8°

34.3

3. Solve the equation
3tan x - 5 = 2 for 0° ≤x≤ 360°

18.94°

88.6°

246.8°

212°

4. Find the angles between 0° and 360° whose cosine is 0.55119

56.5°

10.5°

432°

245°

5. Find a positive angle between 0° and 360° that is equivalent to -65.8°

386°

53.4°

294.2°

342°

6. Given that tan θ = -2.361, where 0° ≤θ≤ 360° , findθ

113°

23°

9°

54.4°

7. 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

67°

24°

64°

57°

8.

If sec θ = 2/3, then find the value of

(2sin θ - 3cos θ) / (4sin θ - 9cos θ)

3

-1

1

2

9. Solve the equation
4 sin x = -1 for 0° ≤x≤ 360°

23

194.5

73.4

244.2

10. Write the value of the angle in surd form cos 300°

√2

1/2

-√3/2

-√2

11. Given that

tanx = 5/12,

what is the value of sinx + cosx?

17

13/17

13

17/13

12. Given that

2sin(θ-45°) = cos(θ+45°),

find the value of tanθ

0

1

1/2

-1

13. Without using trigonometric tables, evaluate sin 35° sin 55° - cos 35° cos 55°

2

0

-1

1

14. If sinθ = -5/13, where θ is an angle between 270° and 360°,
calculate , without using mathematical tables,
the values of cos3θ

22/754

828/2197

234/6445

2/3

15. Find the value of cos (-45)°

0.7071

0.8712

-0.7071

0.4335

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

286°

462°

125°

336°

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

100°

98°

17°

22°

18. If (sec θ + tan θ)/(sec θ - tan θ) = 209/79, find the value of θ.

21

31.23

23.45

26.83

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

113°

25°

324°

422.3°

20. Without using tables or any calculating device
find the value of
√2/2 cos15° + √2/2 sin15°

√2

√2/2

√2/5

√3/2

21. 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/

50 cm

20 cm

30 cm

40 cm

22. If tanx = 12/5,

find the value of sinx, 0° ≤ x ≤ 90°

22/45

12/13

17/18

2/3

23. If sin x = 12/13,
where 0° < x < 90°,
find the value of 1 - cos²x.

144/169

169/144

121/100

100/121

24. If tan α = -4/3, find the value of (sin α + cos α).

±2/3

±4/5

±3/5

±1/2

25. Find the value of

cos 200° sin 160° + sin (- 340°) cos (- 380°)

-1

2

0

1