Class 10 Exam  >  Class 10 Questions  >  If cos(a b)=0 then sin(a-b) can be reduced to... Start Learning for Free
If cos(a b)=0 then sin(a-b) can be reduced to-> i)cos a ii)cos 2a iii)sin a iv)sin 2a?
Most Upvoted Answer
If cos(a b)=0 then sin(a-b) can be reduced to-> i)cos a ii)cos 2a iii)...
Community Answer
If cos(a b)=0 then sin(a-b) can be reduced to-> i)cos a ii)cos 2a iii)...
Explanation:
Given, cos(a b) = 0
We know that the product of two numbers is zero if and only if one or both of the numbers are zero. Therefore,
cos(a-b) = 0 or cos(a+b) = 0

Case 1: cos(a-b) = 0
We need to find sin(a-b)
Using the identity sin2x + cos2x = 1, we get
sin2(a-b) = 1 - cos2(a-b)
sin2(a-b) = 1 - 0 (since cos(a-b) = 0)
sin2(a-b) = 1
Taking the square root on both sides, we get
sin(a-b) = ±1
Therefore, sin(a-b) cannot be reduced to any of the given options.

Case 2: cos(a+b) = 0
We need to find sin(a-b)
Using the identity sin2x + cos2x = 1, we get
sin2(a+b) = 1 - cos2(a+b)
sin2(a+b) = 1 - 0 (since cos(a+b) = 0)
sin2(a+b) = 1
Taking the square root on both sides, we get
sin(a+b) = ±1
Therefore, sin(a+b) cannot be reduced to any of the given options.

Conclusion:
Since sin(a-b) cannot be reduced to any of the given options, the answer is none of the above options.
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

Top Courses for Class 10

If cos(a b)=0 then sin(a-b) can be reduced to-> i)cos a ii)cos 2a iii)sin a iv)sin 2a?
Question Description
If cos(a b)=0 then sin(a-b) can be reduced to-> i)cos a ii)cos 2a iii)sin a iv)sin 2a? 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 If cos(a b)=0 then sin(a-b) can be reduced to-> i)cos a ii)cos 2a iii)sin a iv)sin 2a? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If cos(a b)=0 then sin(a-b) can be reduced to-> i)cos a ii)cos 2a iii)sin a iv)sin 2a?.
Solutions for If cos(a b)=0 then sin(a-b) can be reduced to-> i)cos a ii)cos 2a iii)sin a iv)sin 2a? 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 If cos(a b)=0 then sin(a-b) can be reduced to-> i)cos a ii)cos 2a iii)sin a iv)sin 2a? defined & explained in the simplest way possible. Besides giving the explanation of If cos(a b)=0 then sin(a-b) can be reduced to-> i)cos a ii)cos 2a iii)sin a iv)sin 2a?, a detailed solution for If cos(a b)=0 then sin(a-b) can be reduced to-> i)cos a ii)cos 2a iii)sin a iv)sin 2a? has been provided alongside types of If cos(a b)=0 then sin(a-b) can be reduced to-> i)cos a ii)cos 2a iii)sin a iv)sin 2a? theory, EduRev gives you an ample number of questions to practice If cos(a b)=0 then sin(a-b) can be reduced to-> i)cos a ii)cos 2a iii)sin a iv)sin 2a? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev