Muhammad Imdad Ullah

Are you looking for MCQs Fundamentals of Trigonometry with answers to test your understanding of the basics? This set of multiple-choice questions on Trigonometry fundamentals from First Year Mathematics covers key concepts like quadrant identification, trigonometric identities, the domain of trigonometric functions, and special angles. These First Year Mathematics MCQs are Perfect for exam preparation, competitive tests, and quick revisions, covering basic to advanced trigonometric concepts, and help in understanding the signs of trigonometric functions in different quadrants.

Enhance your Trigonometry skills with these practice questions and clear explanations! Ideal for students, teachers, and competitive exam aspirants. Let us start with the MCQs Fundamentals of Trigonometry Quiz now.

Online MCQS Fundamentals of Trigonometry First year Mathematics

1. Domain of $tan\theta=$

 $n\pi, n\in Z$

 $\theta \in R$ but $\theta \ne (2n+1)\frac{\pi}{2}$, $n\in Z$

 R

 $\theta \in R$ but $\theta \ne n\pi$, $n \in Z$

2. $Cosec^2\theta – Cot^2 \theta$ is equal to

 1

 2

 -1

 0

3. If $Cot\theta >0$ and $Cosec\theta>0$, then the terminal arm of the angle lies in the ————- Quadrant.

 II

 IV

 I

 III

4. Domain of $Cosec \theta = $

 $\theta in R$

 $R – [1, 1]$

 $\theta \in R$ but $\theta \ne n\pi, n\in Z$

 $\theta \in R$ but $\theta \ne (2n+1) \frac{\pi}{2}, n\in Z$

5. $\frac{1-sin\theta}{cos\theta} =$

 $\frac{cos\theta}{1-sin\theta}$

 $\frac{cos\theta}{1+sin\theta}$

 $\frac{sin\theta}{1-cos\theta}$

 $\frac{sin\theta}{1+cos\theta}$

6. Which of the following is a quadrental angle

 All of these

 $-180^\circ$

 $-270^\circ$

 $-90^\circ$

7. The point (-1, 0) lies on the terminal side of the angle

 0

 270${}^\circ$

 180${}^\circ$

 90${}^\circ$

8. Domain of $Sin^2 \theta + Cos^2\theta =1$

 $\theta \in R$

 $\theta \in R$ but $\theta \ne (2n+1)\frac{\pi}{2}, n\in Z$

 $\theta \in R$ but $\theta \ne n\pi, n\in Z$

 $R-[1,1]$

9. Which of the following is a quadrantal angle

 $-250^\circ$

 $210^\circ$

 $300^\circ$

 $-90^\circ$

10. If $Sec\theta<0$ and $Sin\theta <0$, then the terminal arm of the angle lies in the ———— Quadrant.

 III

 I

 IV

 II

11. If $tan\theta <0$ and $Cosec\theta>0$, then the terminal arm of the angle lies in the ————— Quadrant.

 III

 IV

 I

 II

12. Domain $cot \theta =$

 $\theta \in R$

 $R – \{0\}$

 $\theta \in R$ but $\theta \ne (2n+1)\frac{\pi}{2}, n\in Z$

 $\theta \in R$ but $\theta \ne n\pi, n\in Z$

13. The point (0, 1) lies on the terminal side of the angle

 270${}^\circ$

 90${}^\circ$

 180${}^\circ$

 0

14. $(Sec\theta + tan\theta) (sec\theta + tan\theta)=$

 $sec^2 \theta$

 $tan^2\theta$

 $1-2tan^2\theta$

 1

15. $2Sin 45^\circ + \frac{1}{2} Cosec 45^\circ =$

 $-1$

 $\sqrt{\frac{2}{4}}$

 $\frac{3}{\sqrt{2}}$

 $1$

16. $Sec\theta Cosec\theta Sine \theta Cos \theta =$

 $cos \theta$

 1

 $sin \theta$

 0

17. If $Sin\theta<0$ and $Cos\theta > 0$, then the terminal arm of the angle lies in the ————- Quadrant.

 I

 IV

 III

 II

18. Which of the following is not a quadrantal angle

 $180^\circ$

 $-90^\circ$

 $210^\circ$

 $90^\circ$

19. Domain of $Sin\theta$ is

 None of these

 $\theta \in R$ but $\theta \ne (2n+1)\frac{\pi}{2}, n\in Z$

 R

 $\theta \in R$ but $\theta \ne n\pi$, $n\in Z$

20. Domain of $Sec \theta =$

 $R-(1,1)$

 $\theta in R$ but $\theta \ne (2n+1) \frac{\pi}{2}, n \in Z$

 $\theta \in R$ but $\theta \ne n\pi, n\in Z$

 $\theta \in R$

21. The point (0, -1) lies on the terminal side of the angle

 90${}^\circ$

 0

 180${}^\circ$

 270${}^\circ$

22. Domain of $Cos\theta=$

 $\theta\in R$ but $\theta \ne n\pi$, $n\in Z$

 None of these

 R

 $\theta\in R$ but $\theta \ne (2n+1)$, $n\in Z$

23. In right angle Triangle, the measure of the side opposite to 30${}^\circ$ is

 Half of Hypotenuse

 None of these

 Half of base

 Double of base

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MCQs Fundamentals of Trigonometry with Answers

• $Cosec^2\theta – Cot^2 \theta$ is equal to
• If $Sin\theta<0$ and $Cos\theta > 0$, then the terminal arm of the angle lies in the ————- Quadrant.
• If $Cot\theta >0$ and $Cosec\theta>0$, then the terminal arm of the angle lies in the ————- Quadrant.
• If $Sec\theta<0$ and $Sin\theta <0$, then the terminal arm of the angle lies in the ———— Quadrant. If $tan\theta <0$ and $Cosec\theta>0$, then the terminal arm of the angle lies in the ————— Quadrant.
• In right angle Triangle, the measure of the side opposite to 30${}^\circ$ is
• The point (0, 1) lies on the terminal side of the angle
• The point (-1, 0) lies on the terminal side of the angle
• The point (0, -1) lies on the terminal side of the angle
• $2Sin 45^\circ + \frac{1}{2} Cosec 45^\circ =$
• Domain of $Sin\theta$ is
• Domain of $Cos\theta=$
• Domain of $tan\theta=$
• Domain $cot \theta =$
• Domain of $Sec \theta =$
• Domain of $Cosec \theta = $
• Domain of $Sin^2 \theta + Cos^2\theta =1$
• $Sec\theta Cosec\theta Sine \theta Cos \theta =$
• $(Sec\theta + tan\theta) (sec\theta + tan\theta)=$
• $\frac{1-sin\theta}{cos\theta} =$
• Which of the following is not a quadrantal angle
• Which of the following is a quadrantal angle
• Which of the following is a quadrantal angle

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