Trigonometry Questions and Answers updated daily – Aptitude


Trigonometry Questions and Answers updated daily – Aptitude



128 Trigonometry Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Trigonometry online test. Trigonometry Questions with detailed description, explanation will help you to master the topic.

Trigonometry Questions

1. From the top of a building 30 meter high, the angle of depression of ball lying on the ground was observed to be 30 degree. Find the distance between the ball and foot of the building.



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Correct Ans:17.4
Explanation:


2. Evaluate: sin(18) cos(72)+sin(72) cos (18)



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Correct Ans:1
Explanation:


3. Evaluate the expression cos^4 x - sin^4 x , given that cos^2 x - sin^2 x = 1 / 3



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Correct Ans:(1 / 3)
Explanation:


4. Evaluate: sin(21) cos(69)+sin(69) cos (21) 



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Correct Ans:1
Explanation:
By using Formula:
Sin a cos b + cos a sin b = sin (a + b)

Let a = 21, b = 69
=> Sin (21) cos (69) + cos (21) sin (69) = sin (21 + 69)
= sin (90)
= 1
Therefore, sin(21) cos(69)+sin(69) cos (21) = 1


5. Evaluate the expression cos^4 x - sin^4 x , given that cos^2 x - sin^2 x = 9 / 11



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Correct Ans:(9 / 11)
Explanation:


6. From the top of a building 40 meter high, the angle of depression of ball lying on the ground was observed to be 60 degree. Find the distance between the ball and foot of the building.



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Correct Ans:69.2
Explanation:


7. Evaluate the area of the triangle if a = 7, b = 12 and angle C = 90.



SHOW ANSWER
Correct Ans:42
Explanation:
Given, a = 7, b = 12
Angle C = 90

Area of triangle = ab sin (angle C) / 2
= 7 * 12 * sin (90) / 2
= 7 * 6 * sin (90)
= 42 * sin (90)
Since, sin (90) = 1
=> Area of triangle = 42 * 1 = 42
Therefore, Area of triangle = 42


8. Evaluate: sin(17) cos(73)+sin(73) cos (17) 



SHOW ANSWER
Correct Ans:1
Explanation:
Given expression is: sin(17) cos(73)+sin(73) cos (17)

By the Formula:
sin A cos B + cos A sin B = sin (A + B)

Here, A = 17 and B = 73
=> sin(17) cos(73)+sin(73) cos (17) = sin (17 + 73)
= sin (90)
= 1
Thus, sin(17) cos(73)+sin(73) cos (17) = 1


9. Evaluate the expression cos^4 x - sin^4 x , given that cos^2 x - sin^2 x = 7 / 9



SHOW ANSWER
Correct Ans:(7 / 9)
Explanation:


10. Evaluate: sin(20) cos(70)+sin(70) cos (20) 



SHOW ANSWER
Correct Ans:1
Explanation:
By the Formula:
sin A cos B + cos A sin B = sin (A + B)
Here, A = 20 and B = 70
sin (20) cos (70) + cos(20) sin (70) = sin (20 + 70)
= sin (90)
= 1 (since, value of sin 90 = 1)
Thus, sin (20) cos (70) + cos(20) sin (70) = 1


11. The angle of elevation of a bird sitting on the top of a tree of height is 28 meter is 45 degree.Find the distance from the bottom of the tree



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Correct Ans:28
Explanation:


12. Evaluate the expression cos^4 x - sin^4 x , given that cos^2 x - sin^2 x = 3 / 4



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Correct Ans:(3 / 4)
Explanation:


13. From the top of a building 20 meter high, the angle of depression of ball lying on the ground was observed to be 45 degree. Find the distance between the ball and foot of the building.



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Correct Ans:20
Explanation:


14. Evaluate the area of the triangle if a = 7, b = 36 and angle C = 90.



SHOW ANSWER
Correct Ans:126
Explanation:
Given, for triangle, a = 7, b = 36 and angle C = 90

Area of triangle = (a * b * sin C) / 2
= (7 * 36 * sin 90) / 2
Since, sin 90 = 1
=> Area of triangle = (7 * 36 * 1) / 2
=> Area of triangle = 126


15. The angle of elevation of a bird sitting on the top of a tree of height is 37meter is 45 degree".Find the distance from the bottom of the tree



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Correct Ans:37
Explanation:


16. Evaluate the area of the triangle if a = 14, b = 12 and angle C = 30



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Correct Ans:42
Explanation:


17. Evaluate: sin(16) cos(74)+sin(74) cos (16)



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Correct Ans:1
Explanation:


18. Evaluate the expression cos^4 x - sin^4 x , given that cos^2 x - sin^2 x = 5 / 7



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Correct Ans:(5 / 7)
Explanation:


19. The angle of elevation of a bird sitting on the top of a tree of height is 13 meter is 60 degree".Find the distance from the bottom of the tree



SHOW ANSWER
Correct Ans:22.49
Explanation:


20. Evaluate the area of the triangle if a = 6, b = 12 and angle C = 30



SHOW ANSWER
Correct Ans:18
Explanation:



1...1...67


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