All Courses
Get the App Signup / Login
Sign in Open App
Class 10 Exam  >  Class 10 Tests  >  Online MCQ Tests for Class 10  >  Important Question (1 Mark): Introduction to Trigonometry - Class 10 MCQ

Important Question (1 Mark): Introduction to Trigonometry - Class 10 MCQ


Test Description

25 Questions MCQ Test Online MCQ Tests for Class 10 - Important Question (1 Mark): Introduction to Trigonometry

Important Question (1 Mark): Introduction to Trigonometry for Class 10 2024 is part of Online MCQ Tests for Class 10 preparation. The Important Question (1 Mark): Introduction to Trigonometry questions and answers have been prepared according to the Class 10 exam syllabus.The Important Question (1 Mark): Introduction to Trigonometry MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Important Question (1 Mark): Introduction to Trigonometry below.
Solutions of Important Question (1 Mark): Introduction to Trigonometry questions in English are available as part of our Online MCQ Tests for Class 10 for Class 10 & Important Question (1 Mark): Introduction to Trigonometry solutions in Hindi for Online MCQ Tests for Class 10 course. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free. Attempt Important Question (1 Mark): Introduction to Trigonometry | 25 questions in 25 minutes | Mock test for Class 10 preparation | Free important questions MCQ to study Online MCQ Tests for Class 10 for Class 10 Exam | Download free PDF with solutions
Important Question (1 Mark): Introduction to Trigonometry - Question 1
Save

If sin θ = 5/13 then cos θ =

Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 1


 

Important Question (1 Mark): Introduction to Trigonometry - Question 2
Save

Which of the following is true:

Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 2

Trigonometric ratio  is correct.

1 Crore+ students have signed up on EduRev. Have you? Download the App
Important Question (1 Mark): Introduction to Trigonometry - Question 3
Save

If √3tanθ = 3sinθ, then the value of sin2θ−cos2θ is

Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 3


Important Question (1 Mark): Introduction to Trigonometry - Question 4
Save

Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 4

Important Question (1 Mark): Introduction to Trigonometry - Question 5
Save

If sec A + tan A = m and sec A – tan A = n, then the value of mn is
Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 5

Important Question (1 Mark): Introduction to Trigonometry - Question 6
Save

If 4tan θ = 3, 
Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 6

Important Question (1 Mark): Introduction to Trigonometry - Question 7
Save

cot A tan A =
Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 7

Important Question (1 Mark): Introduction to Trigonometry - Question 8
Save

If sin θ − cos θ = 0, vthen the value of θ is
Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 8

Important Question (1 Mark): Introduction to Trigonometry - Question 9
Save

If tan θ = √3, the sec θ =
Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 9

Important Question (1 Mark): Introduction to Trigonometry - Question 10
Save

Given that sin A=1/2 and cos B=1/√2 then the value of (A + B) is:
Important Question (1 Mark): Introduction to Trigonometry - Question 11
Save

If cot θ = 7/8, then the value of (1 + sin θ)(1 - sin θ) / (1 + cos θ)(1 - cos θ)
Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 11

We will use the basic concepts of trigonometric ratios to solve the problem.

Consider ΔABC as shown below where angle B is a right angle.

cot θ = side adjacent to θ / side opposite to θ = AB/BC = 7/8

Let AB = 7k and BC = 8k, where k is a positive integer.

By applying Pythagoras theorem in Δ ABC, we get

AC2 = AB2 + BC2

= (7k)2 + (8k)2

= 49k2 + 64k2

= 113k2

AC = √113k2

= √113k

Therefore, sin θ = side opposite to θ / hypotenuse = BC/AC = 8k/√113k = 8/√113

cos θ = side adjacent to θ / hypotenuse = AB/AC = 7k/√113k = 7/√113

(i) (1 + sin θ) (1 - sin θ) / (1 + cos θ) (1 - cos θ) = 1 - sin2θ / 1 - cos2θ  [Since, (a + b)(a - b) = (a2 - b2)]

= [1 - (8/√113)2] / [1 - (7/√113)2]

= (1 - 64/113) / (1 - 49/113)

= (49/113) / (64/113)

= 49/64

Important Question (1 Mark): Introduction to Trigonometry - Question 12
Save

Given that sinθ = a/b then cos θ is equal to
Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 12

Important Question (1 Mark): Introduction to Trigonometry - Question 13
Save

The value of  
Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 13

Important Question (1 Mark): Introduction to Trigonometry - Question 14
Save

If (α + β) = 90°, then the value of  
Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 14


Important Question (1 Mark): Introduction to Trigonometry - Question 15
Save

Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 15

​​

Important Question (1 Mark): Introduction to Trigonometry - Question 16
Save

In right triangle ABC, right angled at C, if tan A = 1, then the value of 2 sin A cos A is
Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 16


Important Question (1 Mark): Introduction to Trigonometry - Question 17
Save

The value of sin60∘cos30∘ + sin30∘cos60∘ is
Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 17

Important Question (1 Mark): Introduction to Trigonometry - Question 18
Save

If sin θ − cos θ = 0, then the value of sin4θ + cos4θ is
Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 18


Important Question (1 Mark): Introduction to Trigonometry - Question 19
Save

Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 19

Important Question (1 Mark): Introduction to Trigonometry - Question 20
Save

If x = a cos θ and y = b sin θ, then the value of b2x2 + a2y2 is
Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 20


Important Question (1 Mark): Introduction to Trigonometry - Question 21
Save

If tan θ = 20/21, then 
Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 21



Important Question (1 Mark): Introduction to Trigonometry - Question 22
Save

The value of 2 tan245∘+ cos230∘ − sin260∘ is
Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 22

Important Question (1 Mark): Introduction to Trigonometry - Question 23
Save

The value of tan 1∘ tan 2∘ tan 3∘………… tan 89∘ is
Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 23

tan 1° tan2° tan3° ..............tan 89°
= tan(90° -  89°) tan(90° - 88°) tan(90° -  87°) .........  tan 87° tan 88° tan 89°
= cot 89° cot 88° cot 87° .............tan 87° tan 88° tan 89°
= (cot 89° tan 89°) (cot 88° tan 88°) (cot 87° tan 87°) .............(cot 44° tan 44°) tan 45°
= 1x1x1x1x1.........1 = 1 

Important Question (1 Mark): Introduction to Trigonometry - Question 24
Save

(sec2θ - 1) (1 - cosec2θ) =
Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 24

Important Question (1 Mark): Introduction to Trigonometry - Question 25
Save

If x = a sec θ cos φ, y = b sec θ sin φ and z = c tan θ, then the value of 
Detailed Solution for Important Question (1 Mark): Introduction to Trigonometry - Question 25

Given: x = a sec θ cos φ, y = b sec θ sin φ and z = c tan θ

461 tests
Join Course
Information about Important Question (1 Mark): Introduction to Trigonometry Page
In this test you can find the Exam questions for Important Question (1 Mark): Introduction to Trigonometry solved & explained in the simplest way possible. Besides giving Questions and answers for Important Question (1 Mark): Introduction to Trigonometry, EduRev gives you an ample number of Online tests for practice

Top Courses for Class 10

Download as PDF

Top Courses for Class 10

Important Question (1 Mark): Introduction to Trigonometry

Find all the important questions for Important Question (1 Mark): Introduction to Trigonometry at EduRev.Get fully prepared for Important Question (1 Mark): Introduction to Trigonometry with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Important Question (1 Mark): Introduction to Trigonometry syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of Important Question (1 Mark): Introduction to Trigonometry resources.

Important Question (1 Mark): Introduction to Trigonometry MCQs with Answers

Prepare for the Important Question (1 Mark): Introduction to Trigonometry within the Class 10 exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for Important Question (1 Mark): Introduction to Trigonometry Online MCQ Tests for Class 10

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace Important Question (1 Mark): Introduction to Trigonometry with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup