Question

Sin^4a+sin^2acos^2-sin^2a+1

Answer 1

Sin⁴a+sin²a•cos²a-sin²a+1=
sin²a(sin²a+cos²a)+cos²a=
sin²a+cos²a=1

Answer 2

The expression you provided seems to be missing some operators or symbols, making it difficult to understand the intended mathematical operation. However, I'll try to make sense of it based on what you've written.

If the expression is:

sin^4(a) + sin^2(a)cos^2 - sin^2(a) + 1

We can simplify it by factoring out common terms:

sin^2(a)(sin^2(a) + cos^2(a)) - sin^2(a) + 1

Since sin^2(a) + cos^2(a) equals 1 due to the Pythagorean identity, we can simplify further:

sin^2(a) - sin^2(a) + 1

The terms -sin^2(a) and sin^2(a) cancel each other out, resulting in:

1

Therefore, the simplified form of the expression is 1.