Class 12 Exam > Class 12 Questions > Evaluate : sin(1/2cos inverse (4/5))?
Start Learning for Free
Evaluate : sin(1/2cos inverse (4/5))?
Most Upvoted Answer
Evaluate : sin(1/2cos inverse (4/5))?
Community Answer
Evaluate : sin(1/2cos inverse (4/5))?
Evaluating sin(1/2cos-1(4/5))
To evaluate sin(1/2cos-1(4/5)), we need to follow the steps below:
Step 1: Find the value of cos-1(4/5)
cos-1(4/5) is the angle whose cosine is 4/5. Using the inverse cosine function on a calculator, we get:
cos-1(4/5) ≈ 36.87°
Step 2: Divide the angle by 2
To find sin(1/2cos-1(4/5)), we need to divide the angle by 2:
1/2cos-1(4/5) ≈ 18.44°
Step 3: Find the value of sin(18.44°)
Using a calculator or a trigonometric table, we can find that sin(18.44°) ≈ 0.315.
Step 4: State the final answer
Therefore, sin(1/2cos-1(4/5)) ≈ 0.315.
Explanation:
We used the properties of trigonometric functions and inverse trigonometric functions to evaluate sin(1/2cos-1(4/5)). The inverse cosine function gives us the angle whose cosine is 4/5. Dividing this angle by 2 gives us the angle we need to find the sine of. Finally, we use a calculator or a trigonometric table to find the value of the sine of this angle.
|
Explore Courses for Class 12 exam
|
|
Similar Class 12 Doubts
Evaluate : sin(1/2cos inverse (4/5))?
Question Description
Evaluate : sin(1/2cos inverse (4/5))? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Evaluate : sin(1/2cos inverse (4/5))? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Evaluate : sin(1/2cos inverse (4/5))?.
Evaluate : sin(1/2cos inverse (4/5))? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Evaluate : sin(1/2cos inverse (4/5))? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Evaluate : sin(1/2cos inverse (4/5))?.
Solutions for Evaluate : sin(1/2cos inverse (4/5))? in English & in Hindi are available as part of our courses for Class 12.
Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of Evaluate : sin(1/2cos inverse (4/5))? defined & explained in the simplest way possible. Besides giving the explanation of
Evaluate : sin(1/2cos inverse (4/5))?, a detailed solution for Evaluate : sin(1/2cos inverse (4/5))? has been provided alongside types of Evaluate : sin(1/2cos inverse (4/5))? theory, EduRev gives you an
ample number of questions to practice Evaluate : sin(1/2cos inverse (4/5))? tests, examples and also practice Class 12 tests.
|
|
Explore Courses for Class 12 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