Question

if
$if \: \cos ^{2} \alpha - \sin ^{2} \alpha = \frac{1}{2} \: than \: \cos ^{4} - \sin ^{4} = what$
​

Answer 1

Answer:

1 / 2

Step-by-step explanation:

Given----> Cos²α - Sin²α = 1 / 2

To find ------> Value of ( Cos⁴α - Sin⁴α )

Solution------> ATQ,

Cos²α - Sin²α = 1 / 2

Now , Cos⁴α - Sin⁴α

=> ( Cos²α )² - ( Sin²α )²

We know that,

( a² - b² ) = ( a + b ) ( a - b ) , applying it we get,

=> ( Cos²α + Sin²α ) ( Cos²α - Sin²α )

We know that , Cos²α + Sin²α = 1 , we get,

=> ( 1 ) ( Cos²α - Sin²α )

Putting ( Cos²α - Sin²α ) = 1 / 2 , we get,

=> ( 1 ) ( 1 / 2 )

=> 1 / 2

Answer 2

Answer:

1/2 is your answer dear hope it's helpful dear genius good morning