Question

2(sin6 a+ cos^6 a)-3(sin^4 a+ cos^4 a)+1 = 0

Answer 1

THIS IS A VERY GOOD QUESTION TO ASK

HOPE IT WILL HELP YOU

Answer 2

Answer:

Step-by-step explanation:

2(sin⁶A+cos⁶A)-3(sin⁴A+cos⁴A)+1

= 2{(sin²A)³+(cos²A)³} - 3 {(sin²A)²+(cos²A)²} + 1

=  2{(sin²A+cos²A)³- 3sin²Acos²A(sin²A+cos²A)} -3{(sin²A+cos²A)² -  

    2sin²Acos²A} + 1

= 2 (1 - 3sin²Acos²A) - 3 (1 - 2sin²Acos²A) + 1

= 2 - 6sin²Acos²A - 3 + 6sin²Acos²A + 1

= - 1 + 1

= 0

Hence proved.