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Simplify (sin2 a+ cos2 a + cot2 a) |
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Answer» ONG>ANSWER: Step-by-step explanation: =(sinA+cosecA)²+(cosA+secA)²
=sin²A+cosec²A+2sinAcosecA+cos²A+sec²A+2cosAsecA
=sin²A+cos²A+cosec²A+sec²A+2sinA×1/sinA+2cosA×1/cosA
=1+cosec²A+sec²A+2+2
=5+(1+cot²A)+(1+tan²A)
=7+tan²A+cot²A
Identities USED: 1+tan²A=sec²A
1+cot²A=cosec²A
sin²A+cos²A=1
cosecA=1/sinA
secA=1/cosA |
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