Question

(sina+3cosa)tg2a/sina-cosa​

Answer 1

Ответ:

Объяснение:

на фотографии всё есть

Answer 2

It seems like you have an expression involving trigonometric functions that you'd like to simplify. Let's simplify the expression step by step:

Expression: (sin(a) + 3cos(a))tan^2(a) / (sin(a) - cos(a))

Step 1: Factor out a common term from the numerator: sin(a) + 3cos(a) = sin(a)(1 + 3tan^2(a))

So, the expression becomes:

(sin(a)(1 + 3tan^2(a))) / (sin(a) - cos(a))

Step 2: Apply the trigonometric identity tan^2(a) = sec^2(a) - 1: 1 + 3tan^2(a) = 1 + 3(sec^2(a) - 1) = 1 + 3sec^2(a) - 3

So, the expression now becomes:

(sin(a)(3sec^2(a) - 2)) / (sin(a) - cos(a))

Step 3: Cancel out the common factor of sin(a) in the numerator and denominator: (sin(a) cancels out)

The simplified expression is:

(3sec^2(a) - 2) / (1 - cos(a))

That's the simplified form of the given expression.