Fundamentals of Trigonometry MCQs 2

Test your knowledge of Trigonometry with this quiz covering key concepts from Chapter 9 of first-year mathematics. The Fundamentals of Trigonometry MCQS Quiz includes questions on:

  • Degree and radian conversions (e.g., $1^{\circ}$ to radians, $\frac{\pi}{4}$​ rad to degrees)
  • Arc length and sector area calculations
  • Complementary and coterminal angles
  • Standard position and quadrantal angles
  • Trigonometric identities (e.g., $sin^2\theta$+cos^2\theta$, $1+tan^2\theta$)
Online Fundamentals of Trigonometry MCQs with Answers

Perfect for intermediate students looking to strengthen their understanding of trigonometric fundamentals. Take the Fundamentals of Trigonometric MCQS Quiz now and check your mastery of angles, conversions, and identities!

Online Fundamentals of Trigonometry MCQs from Intermediate First Year Mathematics Chapter 9

1. If the initial and the terminal side of an angle falls on the x-axis or y-axis, then it is called

 
 
 
 

2. If $l=1.5$cm and $r=2.5c$ then $\theta$ is equal to

 
 
 
 

3. 1 radian is equal to

 
 
 
 

4. 3” = ——— radian

 
 
 
 

5. $0^{\circ}, 90^{\circ}, 180^{\circ}, 270^{\circ}$ and $360^{\circ}$ are

 
 
 
 

6. An angle is in standard position if its vertex lies

 
 
 
 

7. The circular measure of the angle between the hands of a watch at 4 o’clock is

 
 
 
 

8. 1 Radian is equal to

 
 
 
 

9. Angles with the same initial and terminal sides are called

 
 
 
 

10. $sin^2\theta + cos^2\theta$ is equal to

 
 
 
 

11. If $\theta=45^{\circ}$, $r=18$mm then $l=?$

 
 
 
 

12. If the vertex lies at the origin of the rectangular coordinate system and its initial side is along the positive x-axis, then the angle is called

 
 
 
 

13. $105^{\circ}$ = ———- radian

 
 
 
 

14. 3 radian is equal to

 
 
 
 

15. $\frac{\pi}{4}$ radian = ————- deg

 
 
 
 

16. The area of the sector of a circle of radius $r$ is

 
 
 
 

17. If angle $\theta$ is in degrees, then the angle complementary to $\theta$ is

 
 
 
 

18. $1^{\circ}$ is equal to

 
 
 
 

19. If angle $\theta$ is in radian then angle counterminal with $\theta$ is

 
 
 
 

20. $1+tan^2\theta$ is equal to

 
 
 
 

Online Fundamentals of Trigonometry MCQs with Answers

  • $1^{\circ}$ is equal to
  • 1 Radian is equal to
  • 1 radian is equal to
  • 3 radian is equal to
  • $105^{\circ}$ = ———- radian
  • 3” = ——— radian
  • $\frac{\pi}{4}$ radian = ————- deg
  • The circular measure of the angle between the hands of a watch at 4 o’clock is
  • If $l=1.5$cm and $r=2.5c$ then $\theta$ is equal to
  • If $\theta=45^{\circ}$, $r=18$mm then $l=?$
  • The area of the sector of a circle of radius $r$ is
  • Angles with the same initial and terminal sides are called
  • If angle $\theta$ is in degrees, then the angle complementary to $\theta$ is
  • If angle $\theta$ is in radian then angle coterminal with $\theta$ is
  • If the vertex lies at the origin of the rectangular coordinate system and its initial side is along the positive x-axis, then the angle is called
  • An angle is in standard position if its vertex lies
  • If the initial and the terminal side of an angle falls on the x-axis or y-axis, then it is called
  • $0^{\circ}, 90^{\circ}, 180^{\circ}, 270^{\circ}$ and $360^{\circ}$ are
  • $sin^2\theta + cos^2\theta$ is equal to
  • $1+tan^2\theta$ is equal to

Statistics and Data Analysis

Fundamentals of Trigonometry Quiz 1

Master the MCQs Fundamentals of Trigonometry Quiz from Chapter 9 of First-Year Intermediate Mathematics! Test your understanding of angles, radians, sexagesimal systems, arc length, and angle conversions. Perfect for exam preparation and routine tests, the fundamentals of trigonometry quiz covers key concepts like angle measurement, DMS conversion, circular systems, and radian relations. Sharpen your skills and boost your confidence in trigonometry!” Let us start with the Fundamentals of Trigonometry Quiz now.

Fundamentals of Trigonometry Quiz with Answers
Please go to Fundamentals of Trigonometry Quiz 1 to view the test

Online Fundamentals of Trigonometry Quiz with Answers

  • Two rays with a common starting point form
  • The common starting point of the two rays is called
  • If the rotation of an angle is counterclockwise, then the angle is
  • If the initial ray $\overline{OA}$ rates in anti-clockwise direction in such a way that it coincides with itself, the angle then formed is
  • One rotation in the anticlockwise direction is equal to
  • Straight line angle is equal to
  • One right angle is equal to
  • $1^{\circ}$ is equal to
  • $1^{\circ}$ is equal to
  • 60th part of $1^{\circ}$ is equal to
  • 60th part of 1′ is equal to
  • 3600th part of $1^{\circ}$ is equal to
  • The sexagesimal system is also called
  • $16^{\circ}30’$ is equal to
  • Conversion of $21.256^{\circ}$ to $D^{\circ}m’s”$ form is
  • The angle subtended at the centre of the circle by an arc whose length is equal to the radius of the circle is called
  • The system of angular measurement in which angle is measured in radian is called
  • Relation between the length of an arc of a circle and the circular measure of its central angle is
  • With usual notations, if $l=6cm$, $r=2cm$ then unit of $\theta$ is
  • $1^{\circ}$ is equal to

Statistics and Data Analysis

Binomial Theorem MCQs 2

Test your understanding of Mathematical Induction and the Binomial Theorem MCQS with this quiz designed for First Year Mathematics (Punjab Board) Chapter 8. The quiz includes MCQs on induction steps, binomial expansions, and coefficients. The Binomial Theorem Quiz Test is perfect for exam prep, helping reinforce key concepts like the general term formula, induction proofs, and binomial coefficient properties. Let us start with the Binomial Theorem MCQs Test to check your knowledge.

Mathematical Induction and Binomial Theorem MCQs with Answers
Please go to Binomial Theorem MCQs 2 to view the test

Online Mathematical Induction and Binomial Theorem MCQs with Answers

  • If $n$ is even the middle terms in $(a+x)^n$ is
  • Which term of $(x+2)^8$ is independent of $x$
  • The series $(1+x)^n$ is valid if
  • $1+x+x^2+x^3+\cdots$ is equal to
  • $1-x+x^2 – x^3 + \cdots$ is equal to
  • When $n$ is negative or fraction then general term of $(1+x)^n$ is
  • If $T_{r+1} = \binom{10}{r} (-2)^r (x)^{10-2r}$ the term independent of $x$ is
  • The sum of exponents of $a$ and $b$ in every term of the expansion $(a+b)^n$ is
  • The expansion of $(1-2x)^{-2}$ is valid if
  • $n^2 > n +3 $ is true for
  • If $n$ is odd number, then middle term in expansion $(a+x)^n$ is
  • The expansion $(1-4x)^{-2}$ is valid if
  • The middle term in the expansion of $(a+b)^n$ is $\left(\frac{n}{2}+1\right)$ then $n$ is
  • The number of terms in the expansion of $(1+x)^n$ is
  • The number of terms in the expansion of $(a+b)^{20}$ is
  • Mathematical induction is a method used to prove statements related to:
  • The first step in mathematical induction is to prove the statement for:
  • The expansion of $(1+x)^n$ using the binomial theorem is valid when:
  • The coefficient of $x^3$ in the expansion of $(1+x)^6$ is:
  • The sum of binomial coefficients in $(1+x)^n$ is:

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