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Proof that (sinA cosA)(1-sinAcosA)=tan²A cot²A+7?
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Proof that (sinA cosA)(1-sinAcosA)=tan²A cot²A+7?
Ans.
Method to solve :
Equation = (sinA + cosecA)� + (cosA + secA)� = 7 + tan�A + cot�A
LHS = (sinA + cosecA)� + (cosA + secA)�
= (sin�A + 2*sinA*cosecA + cosec�A) + (cos�A + 2*cosA*secA + sec�A)
= (sin�A + cos�A) + (cosec�A + sec�A) + (2*sinA*cosecA + 2*cosA*secA)
= 1 + (1 + cot�A) + (1 + tan�A) + (2 + 2) … {sin�A + cos�A = 1, cosec�A = 1 + cot�A, sec�A = 1 + tan�A, sinA*cosecA = 1, cosA*secA = 1}
= 7 + tan�A + cot�A = RHS
∴
(sinA + cosecA)� + (cosA + secA)� = 7 + tan�A + cot�A
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Proof that (sinA cosA)(1-sinAcosA)=tan²A cot²A+7?
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Proof that (sinA cosA)(1-sinAcosA)=tan²A cot²A+7? 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 Proof that (sinA cosA)(1-sinAcosA)=tan²A cot²A+7? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Proof that (sinA cosA)(1-sinAcosA)=tan²A cot²A+7?.
Proof that (sinA cosA)(1-sinAcosA)=tan²A cot²A+7? 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 Proof that (sinA cosA)(1-sinAcosA)=tan²A cot²A+7? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Proof that (sinA cosA)(1-sinAcosA)=tan²A cot²A+7?.
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