1.

Prove that sec raise to 4a into 1 minus sin raise to 4 a minus 2 xtan square a is equal to 1​

Answer»

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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