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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 of $Sin^2 \theta + Cos^2\theta =1$

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

 $\theta \in R$

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

 $R-[1,1]$

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

 I

 II

 IV

 III

3. Domain of $Sin\theta$ is

 R

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

 None of these

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

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

 I

 IV

 II

 III

5. $2Sin 45^\circ + \frac{1}{2} Cosec 45^\circ =$

 $\frac{3}{\sqrt{2}}$

 $\sqrt{\frac{2}{4}}$

 $-1$

 $1$

6. Which of the following is a quadrantal angle

 $210^\circ$

 $-250^\circ$

 $-90^\circ$

 $300^\circ$

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

 90${}^\circ$

 270${}^\circ$

 180${}^\circ$

 0

8. 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

 $n\pi, n\in Z$

9. Domain of $Sec \theta =$

 $\theta \in R$

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

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

 $R-(1,1)$

10. Domain of $Cos\theta=$

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

 None of these

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

 R

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

 0

 270${}^\circ$

 180${}^\circ$

 90${}^\circ$

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

 IV

 II

 III

 I

13. Which of the following is not a quadrantal angle

 $-90^\circ$

 $180^\circ$

 $210^\circ$

 $90^\circ$

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

 $sin \theta$

 $cos \theta$

 1

 0

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

 270${}^\circ$

 180${}^\circ$

 90${}^\circ$

 0

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

 2

 -1

 1

 0

17. 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 $\theta \ne n\pi, n\in Z$

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

 I

 III

 IV

 II

19. Domain of $Cosec \theta = $

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

 $\theta in R$

 $R – [1, 1]$

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

20. Which of the following is a quadrental angle

 $-270^\circ$

 All of these

 $-180^\circ$

 $-90^\circ$

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

 $\frac{sin\theta}{1-cos\theta}$

 $\frac{cos\theta}{1+sin\theta}$

 $\frac{sin\theta}{1+cos\theta}$

 $\frac{cos\theta}{1-sin\theta}$

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

 $1-2tan^2\theta$

 $tan^2\theta$

 1

 $sec^2 \theta$

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

 None of these

 Double of base

 Half of Hypotenuse

 Half 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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