Question

Sin^6 A+ sin^6 A= 1-k sin^2 (2A)=> k=

Answer 1

Answer:

Correct option is C)

cos

6

α+sin

6

α+ksin

2

2α=1

⇒(cos

2

α)

3

+(sin

2

α)

3

+ksin

2

2α=1

⇒1−3sin

2

αcos

2

α+ksin

2

2α=1

⇒1−

4

3

sin

2

2α+ksin

2

2α=1

⇒1+sin

2

2α(k−

4

3

)=1

⇒k=

4

3