Question

if x = a cos^4 theta and y = b sin^4 then rootx by a + root y by b​

Answer 1

Answer:

According to the question answer will be 1.

Step-by-step explanation:

x = a cos⁴ θ

or, x / a = cos⁴ θ

or, ( cos² θ) ² = x / a

or, cos² θ = √x / √a ....................( 1 ).

y = b sin⁴ θ

or, sin² θ = √y / √ b ......................( 2 )

Adding the equation ( 1 ) & ( 2 ) we get,

sin ² θ + cos² θ = (√x / √a ) + ( √y / √ b )

or, ( √ x / √ a + √ y / √b ) = 1.