If sin θ - cos θ = 0, then Value of is:𝑠𝑖𝑛4θ + 𝑐𝑜𝑠4θ

Given that sin θ - cos θ = 0, we can say that sin θ = cos θ.

We know that sin^2 θ + cos^2 θ = 1.

Since sin θ = cos θ, we can replace sin^2 θ with cos^2 θ in the equation above.

So, 2cos^2 θ = 1.

Therefore, cos^2 θ = 1/2.

Now, we need to find the value of sin^4 θ + cos^4 θ.

We know that (sin^2 θ)^2 + (cos^2 θ)^2 = sin^4 θ + cos^4 θ.

Substituting the value of cos^2 θ from above, we get (1/2)^2 + (1/2)^2 = 1/4 + 1/4 = 1/2.

So, sin^4 θ + cos^4 θ = 1/2.