Question

Упрастите выражение sin² A + stg²A sin²A , с объяснением плиз​

Answer 1

sin²A+ctg²A×sin²A=sin²A(1+ctg²A)=sin²A×$\frac{1}{sin^{2}A }$=1

Answer 2

Simplifying the Expression sin²A + tan²A sin²A

To simplify the expression sin²A + tan²A sin²A, we can start by factoring out the common factor of sin²A.

Step 1: Factor out sin²A We can factor out sin²A from both terms in the expression: sin²A(1 + tan²A)

Now, let's explain the reasoning behind this step.

Explanation: The expression sin²A + tan²A sin²A can be simplified by factoring out the common factor sin²A. This is a common technique in algebra to simplify expressions by identifying and factoring out common terms.

In this case, we can factor out sin²A from both terms in the expression. This leaves us with sin²A as a common factor, and the remaining factor is (1 + tan²A).

So, the simplified form of the expression sin²A + tan²A sin²A is sin²A(1 + tan²A).

This is the simplified form of the given expression, and it represents the original expression in a more compact and manageable form.

I hope this explanation helps! If you have further questions or need more assistance, feel free to ask.