JEE Exam > JEE Questions > Cos^-1 (cos12)-sin^-1 (sin14)?
Start Learning for Free
Cos^-1 (cos12)-sin^-1 (sin14)?
Most Upvoted Answer
Cos^-1 (cos12)-sin^-1 (sin14)?
Solution:
Step 1: Simplify the trigonometric functions
We know that cos(12) and sin(14) are the values of cosine and sine functions at angles 12 degrees and 14 degrees respectively. We can simplify these functions using the following trigonometric identities:
- cos(-x) = cos(x)
- sin(-x) = -sin(x)
Applying these identities, we can simplify the given functions as follows:
- cos(12) = cos(-348)
- sin(14) = sin(-346)
Therefore, we can rewrite the given expression as:
cos^-1(cos(-348)) - sin^-1(sin(-346))
Step 2: Use the inverse trigonometric identities
We know that the inverse trigonometric functions are used to find the angle whose cosine or sine is given. Therefore, we can use the following identities to simplify the expression:
- cos^-1(cos(x)) = x, for 0 <= x=""><=>
- sin^-1(sin(x)) = x, for -pi/2 <= x=""><=>
Applying these identities, we get:
cos^-1(cos(-348)) - sin^-1(sin(-346))
= -348 - (-346)
= -2
Step 3: Final Answer
Therefore, the final answer is -2.
Community Answer
Cos^-1 (cos12)-sin^-1 (sin14)?
Cos^-1{cos (12)}-sin^-1{sin (14)=8π-26
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
Cos^-1 (cos12)-sin^-1 (sin14)?
Question Description
Cos^-1 (cos12)-sin^-1 (sin14)? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Cos^-1 (cos12)-sin^-1 (sin14)? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Cos^-1 (cos12)-sin^-1 (sin14)?.
Cos^-1 (cos12)-sin^-1 (sin14)? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Cos^-1 (cos12)-sin^-1 (sin14)? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Cos^-1 (cos12)-sin^-1 (sin14)?.
Solutions for Cos^-1 (cos12)-sin^-1 (sin14)? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Cos^-1 (cos12)-sin^-1 (sin14)? defined & explained in the simplest way possible. Besides giving the explanation of
Cos^-1 (cos12)-sin^-1 (sin14)?, a detailed solution for Cos^-1 (cos12)-sin^-1 (sin14)? has been provided alongside types of Cos^-1 (cos12)-sin^-1 (sin14)? theory, EduRev gives you an
ample number of questions to practice Cos^-1 (cos12)-sin^-1 (sin14)? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE 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