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If x=sintheta|sintheta| ,y= cos theta | cos theta | where 99π÷2≤theta≤50π then (a) x-y = 1 (b) x+y= -1 (c) x+y = 1 (d) y-x = 1
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If x=sintheta|sintheta| ,y= cos theta | cos theta | where 99π÷2≤theta≤...
Explanation:
- Given:
- x = sin(theta) | sin(theta) |
- y = cos(theta) | cos(theta) |
- 99π/2 ≤ theta ≤ 50π
- Calculating x and y:
- Since the absolute value of sin(theta) is always between 0 and 1, x will always be positive.
- Similarly, since the absolute value of cos(theta) is always between 0 and 1, y will always be positive as well.
- Determining the Relationship between x and y:
- As both x and y are positive, the only way for x-y to be 1 or -1 is if one of them is 0.
- However, since sin(theta) and cos(theta) can never be 0 simultaneously, x-y cannot be 1 or -1.
- Understanding the Relationship between x and y:
- When sin(theta) is 1, cos(theta) is 0, and vice versa.
- This means that x and y are complements of each other and will always sum up to 1.
- Conclusion:
- Therefore, the correct relationship between x and y is x + y = 1. Hence, option (c) x + y = 1 is the correct answer.
- Given:
- x = sin(theta) | sin(theta) |
- y = cos(theta) | cos(theta) |
- 99π/2 ≤ theta ≤ 50π
- Calculating x and y:
- Since the absolute value of sin(theta) is always between 0 and 1, x will always be positive.
- Similarly, since the absolute value of cos(theta) is always between 0 and 1, y will always be positive as well.
- Determining the Relationship between x and y:
- As both x and y are positive, the only way for x-y to be 1 or -1 is if one of them is 0.
- However, since sin(theta) and cos(theta) can never be 0 simultaneously, x-y cannot be 1 or -1.
- Understanding the Relationship between x and y:
- When sin(theta) is 1, cos(theta) is 0, and vice versa.
- This means that x and y are complements of each other and will always sum up to 1.
- Conclusion:
- Therefore, the correct relationship between x and y is x + y = 1. Hence, option (c) x + y = 1 is the correct answer.
Community Answer
If x=sintheta|sintheta| ,y= cos theta | cos theta | where 99π÷2≤theta≤...
Y-x = 1
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If x=sintheta|sintheta| ,y= cos theta | cos theta | where 99π÷2≤theta≤50π then (a) x-y = 1 (b) x+y= -1 (c) x+y = 1 (d) y-x = 1
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If x=sintheta|sintheta| ,y= cos theta | cos theta | where 99π÷2≤theta≤50π then (a) x-y = 1 (b) x+y= -1 (c) x+y = 1 (d) y-x = 1 for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If x=sintheta|sintheta| ,y= cos theta | cos theta | where 99π÷2≤theta≤50π then (a) x-y = 1 (b) x+y= -1 (c) x+y = 1 (d) y-x = 1 covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x=sintheta|sintheta| ,y= cos theta | cos theta | where 99π÷2≤theta≤50π then (a) x-y = 1 (b) x+y= -1 (c) x+y = 1 (d) y-x = 1 .
If x=sintheta|sintheta| ,y= cos theta | cos theta | where 99π÷2≤theta≤50π then (a) x-y = 1 (b) x+y= -1 (c) x+y = 1 (d) y-x = 1 for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If x=sintheta|sintheta| ,y= cos theta | cos theta | where 99π÷2≤theta≤50π then (a) x-y = 1 (b) x+y= -1 (c) x+y = 1 (d) y-x = 1 covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x=sintheta|sintheta| ,y= cos theta | cos theta | where 99π÷2≤theta≤50π then (a) x-y = 1 (b) x+y= -1 (c) x+y = 1 (d) y-x = 1 .
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