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sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none
Most Upvoted Answer
sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none
Solution:
We know that sin inverse function is an inverse function of the sine function. Hence, sin inverse of sin(x) is x. However, if x is not in the range of sin inverse function, then we need to find the value of x which is in the range of sin inverse function and whose sin value is the same as sin(x).
- Option (a) 4:
- Option (b) 4 - 2π:
- Option (c) π - 4:
- Option (d) None:
The sine function has a range of [-1,1]. Therefore, sin(4) is in the range of the sine function. Therefore, sin inverse of sin(4) is equal to 4. Hence, the answer is (a) 4.
The sine function is periodic with a period of 2π. Therefore, sin(x) is equal to sin(x + 2π), for any value of x. Hence, sin inverse of sin(4 - 2π) is equal to sin inverse of sin(4). Therefore, the answer is (a) 4.
The sine function is an odd function. Therefore, sin(-x) is equal to -sin(x), for any value of x. Therefore, sin inverse of sin(π - 4) is equal to sin inverse of sin(4 - π). Since sin(π - x) is equal to sin(x), for any value of x, sin inverse of sin(4 - π) is equal to sin inverse of sin(π - 4). Therefore, the answer is (c) π - 4.
Since sin(4) is in the range of the sine function, sin inverse of sin(4) exists and is equal to 4. Therefore, option (d) is incorrect.
Community Answer
sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none
c
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sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none
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sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none.
sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for sin inverse (sin4) (a) 4 (b) 4 -2pie (c) pie - 4 (d) none.
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