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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 $cot \theta =$

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

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

 $R – \{0\}$

 $\theta \in R$

2. Domain of $Sec \theta =$

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

 $\theta \in R$

 $R-(1,1)$

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

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

 Half of Hypotenuse

 Half of base

 None of these

 Double of base

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

 0

 1

 2

 -1

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

 IV

 I

 III

 II

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

 180${}^\circ$

 270${}^\circ$

 90${}^\circ$

 0

7. Domain of $Cosec \theta = $

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

 $\theta in R$

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

 $R – [1, 1]$

8. Which of the following is a quadrantal angle

 $210^\circ$

 $-90^\circ$

 $300^\circ$

 $-250^\circ$

9. Which of the following is a quadrental angle

 $-90^\circ$

 $-180^\circ$

 All of these

 $-270^\circ$

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

 $sin \theta$

 0

 1

 $cos \theta$

11. Domain of $tan\theta=$

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

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

 R

 $n\pi, n\in Z$

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

 I

 II

 III

 IV

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

 $\frac{sin\theta}{1+cos\theta}$

 $\frac{cos\theta}{1-sin\theta}$

 $\frac{sin\theta}{1-cos\theta}$

 $\frac{cos\theta}{1+sin\theta}$

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

 IV

 I

 III

 II

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

 0

 180${}^\circ$

 270${}^\circ$

 90${}^\circ$

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

 $sec^2 \theta$

 $1-2tan^2\theta$

 1

 $tan^2\theta$

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

 0

 180${}^\circ$

 90${}^\circ$

 270${}^\circ$

18. Domain of $Cos\theta=$

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

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

 R

 None of these

19. $2Sin 45^\circ + \frac{1}{2} Cosec 45^\circ =$

 $\frac{3}{\sqrt{2}}$

 $1$

 $\sqrt{\frac{2}{4}}$

 $-1$

20. Which of the following is not a quadrantal angle

 $210^\circ$

 $90^\circ$

 $180^\circ$

 $-90^\circ$

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

 $\theta \in R$

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

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

 $R-[1,1]$

22. Domain of $Sin\theta$ is

 None of these

 R

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

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

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

 IV

 III

 I

 II

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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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