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Please solved this..... If sinA +cosA =2 then find the value of sinA -cosA
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Please solved this..... If sinA +cosA =2 then find the value of sinA ...
Solution:
Given, sinA cosA = 2
We know that sin2A = 2sinA cosA
=> sin2A = 4
=> sinA = ±√(4/2) = ±√2
Now, we need to find the value of sinA - cosA
Let’s assume, sinA - cosA = x
Squaring both sides, we get:
(sinA - cosA)^2 = x^2
=> sin^2A + cos^2A - 2sinA cosA = x^2
As sin^2A + cos^2A = 1, we can write:
1 - 2sinA cosA = x^2
As we know sinA cosA = 2, we can substitute it in the above equation:
1 - 2(2) = x^2
=> x^2 = -3
As the value of x^2 is negative, there is no real solution for x.
Therefore, the value of sinA - cosA does not exist.
Answer: The value of sinA - cosA does not exist.
Given, sinA cosA = 2
We know that sin2A = 2sinA cosA
=> sin2A = 4
=> sinA = ±√(4/2) = ±√2
Now, we need to find the value of sinA - cosA
Let’s assume, sinA - cosA = x
Squaring both sides, we get:
(sinA - cosA)^2 = x^2
=> sin^2A + cos^2A - 2sinA cosA = x^2
As sin^2A + cos^2A = 1, we can write:
1 - 2sinA cosA = x^2
As we know sinA cosA = 2, we can substitute it in the above equation:
1 - 2(2) = x^2
=> x^2 = -3
As the value of x^2 is negative, there is no real solution for x.
Therefore, the value of sinA - cosA does not exist.
Answer: The value of sinA - cosA does not exist.
Community Answer
Please solved this..... If sinA +cosA =2 then find the value of sinA ...
sinA + cosA = 2 squaring both side,(sinA + cosA )2= 4sin2A + cos2a + 2sinAcosA = 4NOW sin2A + cos2A = 1therefore,, 2sinAcosA = 4-1that is ..2sinAcosA = 3NOW (sinA - cosA)2 = sin2A - cos2A + 2sinAcosA(sinA-cosA)2 = 4sinA-cosA = 2this the right method
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Please solved this..... If sinA +cosA =2 then find the value of sinA -cosA for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Please solved this..... If sinA +cosA =2 then find the value of sinA -cosA covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Please solved this..... If sinA +cosA =2 then find the value of sinA -cosA.
Please solved this..... If sinA +cosA =2 then find the value of sinA -cosA for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Please solved this..... If sinA +cosA =2 then find the value of sinA -cosA covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Please solved this..... If sinA +cosA =2 then find the value of sinA -cosA.
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