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If sin2a =#sin2b, then value of tan(a+ b) /tan(a-b)?
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If sin2a =#sin2b, then value of tan(a+ b) /tan(a-b)?
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If sin2a =#sin2b, then value of tan(a+ b) /tan(a-b)?
1. Given:
- sin2a = sin2b
2. Key Point:
- sin2a = 2sinacos a
- sin2b = 2sinbcos b
3. Calculation:
- 2sinacos a = 2sinbcos b
- sin(a)cos(a) = sin(b)cos(b)
- tan(a) = tan(b)
4. Formula for tan(a + b):
- tan(a + b) = (tan a + tan b) / (1 - tan a * tan b)
5. Formula for tan(a - b):
- tan(a - b) = (tan a - tan b) / (1 + tan a * tan b)
6. Result:
- tan(a + b) / tan(a - b) = (tan a + tan b) / (tan a - tan b) = 1
Therefore, if sin2a = sin2b, then the value of tan(a + b) / tan(a - b) is equal to 1.
- sin2a = sin2b
2. Key Point:
- sin2a = 2sinacos a
- sin2b = 2sinbcos b
3. Calculation:
- 2sinacos a = 2sinbcos b
- sin(a)cos(a) = sin(b)cos(b)
- tan(a) = tan(b)
4. Formula for tan(a + b):
- tan(a + b) = (tan a + tan b) / (1 - tan a * tan b)
5. Formula for tan(a - b):
- tan(a - b) = (tan a - tan b) / (1 + tan a * tan b)
6. Result:
- tan(a + b) / tan(a - b) = (tan a + tan b) / (tan a - tan b) = 1
Therefore, if sin2a = sin2b, then the value of tan(a + b) / tan(a - b) is equal to 1.
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If sin2a =#sin2b, then value of tan(a+ b) /tan(a-b)?
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If sin2a =#sin2b, then value of tan(a+ b) /tan(a-b)? for Self Help Learning 2025 is part of Self Help Learning preparation. The Question and answers have been prepared according to the Self Help Learning exam syllabus. Information about If sin2a =#sin2b, then value of tan(a+ b) /tan(a-b)? covers all topics & solutions for Self Help Learning 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sin2a =#sin2b, then value of tan(a+ b) /tan(a-b)?.
If sin2a =#sin2b, then value of tan(a+ b) /tan(a-b)? for Self Help Learning 2025 is part of Self Help Learning preparation. The Question and answers have been prepared according to the Self Help Learning exam syllabus. Information about If sin2a =#sin2b, then value of tan(a+ b) /tan(a-b)? covers all topics & solutions for Self Help Learning 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sin2a =#sin2b, then value of tan(a+ b) /tan(a-b)?.
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