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Prove that sec raise to 4a into 1 minus sin raise to 4 a minus 2 xtan square a is equal to 1 |
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Answer» Step-by-step EXPLANATION: sec⁴A(1-sin⁴A)-2tan²A =sec⁴A-sec⁴Asin⁴A-2tan²A =sec⁴A-sin⁴A(1/cos⁴A)-2tan²A =sec⁴A-tan⁴A-2tan²A ={(sec²A)²-(tan²A)²}-2tan²A =(sec²A+tan²A)(sec²A-tan²A)-2tan²A =sec²A+tan²A-2tan²A [∵, sec²A-tan²A=1] =sec²A-tan²A =1 (PROVED |
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