Class 10 Exam > Class 10 Questions > 2 cos² 30⁰ – 1 a. sin 60⁰ b. sec 60⁰ c. cos 6...
Start Learning for Free
2 cos² 30⁰ – 1 a. sin 60⁰ b. sec 60⁰ c. cos 60⁰ d. tan 60⁰?
Most Upvoted Answer
2 cos² 30⁰ – 1 a. sin 60⁰ b. sec 60⁰ c. cos 60⁰ d. tan 60⁰?
Given
2cos ²30 degree - 1
we know cos 30 degree = √3/2
so put the value
2(√3/2)²-1 --> (2*3/4)-1
3/2-1 -->1/2
thus,the value for 1/2 be cos 60 degree ...
thus ,cos 60 degree is correct answer...
2cos ²30 degree - 1
we know cos 30 degree = √3/2
so put the value
2(√3/2)²-1 --> (2*3/4)-1
3/2-1 -->1/2
thus,the value for 1/2 be cos 60 degree ...
thus ,cos 60 degree is correct answer...
Community Answer
2 cos² 30⁰ – 1 a. sin 60⁰ b. sec 60⁰ c. cos 60⁰ d. tan 60⁰?
Solution:
Given expression: 2 cos² 30⁰ – 1
To evaluate the given expression, we will use the trigonometric identity: cos² θ + sin² θ = 1
Step 1: Convert 30 degrees to radians
30 degrees = (π/180) × 30 = π/6 radians
Step 2: Find the value of cos(π/6)
cos(π/6) = √3/2
Step 3: Substitute the value of cos(π/6) in the given expression
2 cos² (π/6) – 1 = 2(√3/2)² – 1 = 2(3/4) – 1 = 3/2 – 1 = 1/2
Therefore, 2 cos² 30⁰ – 1 = 1/2
Now, let's evaluate each option given in the question:
a. sin 60⁰: sin 60⁰ = √3/2 ≠ 1/2
b. sec 60⁰: sec 60⁰ = 2 ≠ 1/2
c. cos 60⁰: cos 60⁰ = 1/2, which is the same as the value we obtained for the given expression.
d. tan 60⁰: tan 60⁰ = √3 ≠ 1/2
Therefore, the correct answer is option (c) cos 60⁰.
Given expression: 2 cos² 30⁰ – 1
To evaluate the given expression, we will use the trigonometric identity: cos² θ + sin² θ = 1
Step 1: Convert 30 degrees to radians
30 degrees = (π/180) × 30 = π/6 radians
Step 2: Find the value of cos(π/6)
cos(π/6) = √3/2
Step 3: Substitute the value of cos(π/6) in the given expression
2 cos² (π/6) – 1 = 2(√3/2)² – 1 = 2(3/4) – 1 = 3/2 – 1 = 1/2
Therefore, 2 cos² 30⁰ – 1 = 1/2
Now, let's evaluate each option given in the question:
a. sin 60⁰: sin 60⁰ = √3/2 ≠ 1/2
b. sec 60⁰: sec 60⁰ = 2 ≠ 1/2
c. cos 60⁰: cos 60⁰ = 1/2, which is the same as the value we obtained for the given expression.
d. tan 60⁰: tan 60⁰ = √3 ≠ 1/2
Therefore, the correct answer is option (c) cos 60⁰.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
2 cos² 30⁰ – 1 a. sin 60⁰ b. sec 60⁰ c. cos 60⁰ d. tan 60⁰?
Question Description
2 cos² 30⁰ – 1 a. sin 60⁰ b. sec 60⁰ c. cos 60⁰ d. tan 60⁰? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 2 cos² 30⁰ – 1 a. sin 60⁰ b. sec 60⁰ c. cos 60⁰ d. tan 60⁰? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2 cos² 30⁰ – 1 a. sin 60⁰ b. sec 60⁰ c. cos 60⁰ d. tan 60⁰?.
2 cos² 30⁰ – 1 a. sin 60⁰ b. sec 60⁰ c. cos 60⁰ d. tan 60⁰? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 2 cos² 30⁰ – 1 a. sin 60⁰ b. sec 60⁰ c. cos 60⁰ d. tan 60⁰? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2 cos² 30⁰ – 1 a. sin 60⁰ b. sec 60⁰ c. cos 60⁰ d. tan 60⁰?.
Solutions for 2 cos² 30⁰ – 1 a. sin 60⁰ b. sec 60⁰ c. cos 60⁰ d. tan 60⁰? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of 2 cos² 30⁰ – 1 a. sin 60⁰ b. sec 60⁰ c. cos 60⁰ d. tan 60⁰? defined & explained in the simplest way possible. Besides giving the explanation of
2 cos² 30⁰ – 1 a. sin 60⁰ b. sec 60⁰ c. cos 60⁰ d. tan 60⁰?, a detailed solution for 2 cos² 30⁰ – 1 a. sin 60⁰ b. sec 60⁰ c. cos 60⁰ d. tan 60⁰? has been provided alongside types of 2 cos² 30⁰ – 1 a. sin 60⁰ b. sec 60⁰ c. cos 60⁰ d. tan 60⁰? theory, EduRev gives you an
ample number of questions to practice 2 cos² 30⁰ – 1 a. sin 60⁰ b. sec 60⁰ c. cos 60⁰ d. tan 60⁰? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
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