Class 11 Exam > Class 11 Questions > Value of sin square 60 ?
Start Learning for Free
Value of sin square 60 ?
Most Upvoted Answer
Value of sin square 60 ?
Value of sin square 60
Explanation: In trigonometry, sin is one of the six trigonometric functions and it is the ratio of the length of the opposite side to the length of the hypotenuse in a right-angled triangle. The value of sin 60 can be found by drawing an equilateral triangle with all sides equal to 1 unit.
Steps to find the value of sin 60:
- Draw an equilateral triangle with all sides equal to 1 unit.
- Draw an altitude from any one vertex to the opposite side, which will bisect the opposite side into two equal halves.
- Now, we have a right-angled triangle with the hypotenuse of length 1 unit and the opposite side of length 1/2 unit.
- Using the Pythagorean theorem, we can find the length of the adjacent side.
- a^2 + (1/2)^2 = 1^2
- a^2 = 1 - 1/4
- a^2 = 3/4
- a = sqrt(3)/2
- Therefore, the value of sin 60 is the ratio of the opposite side to the hypotenuse which is 1/2.
- So, sin 60 = 1/2
- Now, we can find the value of sin square 60 by squaring sin 60.
- sin^2 60 = (1/2)^2
- sin^2 60 = 1/4
- Therefore, the value of sin square 60 is 1/4.
Thus, the value of sin square 60 is 1/4 or 0.25.
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
Value of sin square 60 ?
Question Description
Value of sin square 60 ? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Value of sin square 60 ? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Value of sin square 60 ?.
Value of sin square 60 ? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Value of sin square 60 ? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Value of sin square 60 ?.
Solutions for Value of sin square 60 ? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of Value of sin square 60 ? defined & explained in the simplest way possible. Besides giving the explanation of
Value of sin square 60 ?, a detailed solution for Value of sin square 60 ? has been provided alongside types of Value of sin square 60 ? theory, EduRev gives you an
ample number of questions to practice Value of sin square 60 ? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© 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