Trigonometric Functions

Trigonometric Functions

Trigonometric Functions

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Trigonometric Functions 0%

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Question 1 of 25

1. Question
If sin t = 0.6 and cot t > 0, then sin (2 t) = ?
- – 0.96
- 0.96
- 0.48
- – 0.48
- None of the above
Correct

Incorrect
Question 2 of 25

2. Question
If cos t = 0.8, then cos (2 t) = ?
- 0.28
- 0.4
- 1.0
- 1.6
- None of the above
Correct

Incorrect
Question 3 of 25

3. Question
If tan x = 5, then tan (2 x) = ?
- 10
- – 5 / 12
- 1/10
- 5/12
- None of the above
Correct

Incorrect
Question 4 of 25

4. Question
If cos t = 3/4, and sin t <0, then sin (3 t) = ?
- 5 √7 / 16
- – 3 √7 / 4
- – 5 √7 / 16
- √7 / 16
- None of the above
Correct

Incorrect
Question 5 of 25

5. Question
If cos t = 1/3 and 3 π /2 < t < 2 π in quadrant IV, then sin (4 t) = ?
- – 56 √2 / 243
- 56 √2 / 81
- – 8 √2 / 3
- 8 √2 / 3
- None of the above
Correct

Incorrect
Question 6 of 25

6. Question
If sin t = 1/5 and 0 < t < π / 2, then cos (4 t) = ?
- 0.3464
- 0.8
- 0.6928
- – 0.6928
- None of the above
Correct

Incorrect
Question 7 of 25

7. Question
Given that sin π /7 = 0.434 which of the following gives the value of cos π /7 correct to 3 decimal places?
- 0.143
- 0.901
- 0.566
- 0.812
- None of the above
Correct

Incorrect
Question 8 of 25

8. Question
Find the radian measures corresponding to the following degree measure :

$25^{o}$
- 5π/ 36 radian
- π/ 36 radian
- 2π/ 30 radian
- 5π/ 30 radian
- None of the above
Correct

Incorrect
Question 9 of 25

9. Question
Find the radian measures corresponding to the following degree measures :

-47⁰ 30’
- 19 / 72 π radian
- -18 / 72 π radian
- -19 / 72 π radian
- 18 / 72 π radian
- None of the above
Correct

Incorrect
Question 10 of 25

10. Question
The Function y = tan x passes through the point ______ ?
- (0,0)
- (1,1)
- (2,2)
- (3,3)
- (4,4)
Correct

Incorrect
Question 11 of 25

11. Question
The function y = 5 – 3 tanx passes through the point ______ ?
- (5,0)
- (0,-5)
- (0,5)
- (-5,0)
- (5,-5)
Correct

Incorrect
Question 12 of 25

12. Question
The function of y = 1 – cosx passes through the point ______ ?
- (0,1)
- (0,0)
- (1,0)
- (1,1)
- (-1,0)
Correct

Incorrect
Question 13 of 25

13. Question
The function y = sinx – 10 passes through the point ______ ?
- (0,10)
- (0,-10)
- (10,0)
- (10,10)
- (-10,0)
Correct

Incorrect
Question 14 of 25

14. Question
The function y = sinx + cosx passes through the point ______?
- (1,2)
- (-1,0)
- (0,-1)
- (0,1)
- (2,2)
Correct

Incorrect
Question 15 of 25

15. Question
x – y tanx = (1-y) the line passes through the point _______?
- (2,3)
- (0,1)
- (1,1)
- (3,4)
- (0,-1)
Correct

Incorrect
Question 16 of 25

16. Question
Find the radian measure corresponding to the following degree measures $240^{o}$
- 4 / 3 π radian
- 3 / 4 π radian
- 1 / 3 π radian
- 1 / 4 π radian
- None of the above
Correct

Incorrect
Question 17 of 25

17. Question
Find the radian measure corresponding to the following degree measures $520^{o}$
- 26π/ 12 radian
- π/ 9 radian
- 20π/ 9 radian
- 26π/ 9 radian
- None of the above
Correct

Incorrect
Question 18 of 25

18. Question
The function $y = \frac{10-x}{sinx+cosx}$ passes through the point __________?
- (10,0)
- (0,10)
- (5,5)
- (10,5)
- (5,10)
Correct

Incorrect
Question 19 of 25

19. Question
$y^{2} - 2xy - cosx =sinx$ passes through the point ______?
- (0,4)
- (0,0)
- (0,1)
- (0,5)
- (0,7)
Correct

Incorrect
Question 20 of 25

20. Question
$y^{2} + 2xy - sinx = tanx$ passes through the point ___________?
- (0,0)
- (0,1)
- (0,-1)
- (0,3)
- (-3,0)
Correct

Incorrect
Question 21 of 25

21. Question
$(y-4)^{2} = 4x$ the function passes through the points _______?
- (3,9)
- (0,4)
- (5,11)
- (7,13)
- (9,15)
Correct

Incorrect
Question 22 of 25

22. Question
$\frac{y+asinx}{4y-asinx} = 1$ the function passes through the points _______.
- (a,0)
- (-a,0)
- (0,0)
- (a,2)
- (a,-2a)
Correct

Incorrect
Question 23 of 25

23. Question
If sin θ + cosec θ = 2, then sin² θ + cosec² θ is equal to ?
- 1
- 4
- 2
- 1/2
- None of these
Correct

Incorrect
Question 24 of 25

24. Question
If f(x) = cos² x + sec² x, then
- f(x) ˂ 1
- 2 ˂ f(x) ˂ 1
- f(x) = 1
- f(x) ≥ 2
- None of the above
Correct

Incorrect
Question 25 of 25

25. Question
The value of tan 1⁰ tan 2⁰ tan 3⁰ ……….tan 89⁰ is ?
- 1
- 0
- 1/2
- Not Defined
- None of the above
Correct

Incorrect

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