Question

(2sina/1-cosa+2sina/1+cosa)*tgaРЕШИТЕ ПОЖАЛУЙСТА ❗❗❗❗❗❗❗❗❗​

Answer 1

Ответ:

4a²gnsti

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Answer 2

Calculation of the Expression

To solve the expression (2sin(a)/(1-cos(a)) + 2sin(a)/(1+cos(a))) * tan(a), we can simplify it step by step.

Step 1: Simplify the expression inside the parentheses. - The expression inside the parentheses is (2sin(a)/(1-cos(a)) + 2sin(a)/(1+cos(a))).

Step 2: Find the common denominator for the fractions. - The common denominator for the fractions is (1-cos(a))(1+cos(a)).

Step 3: Combine the fractions using the common denominator. - The expression becomes (2sin(a)(1+cos(a)) + 2sin(a)(1-cos(a))) / ((1-cos(a))(1+cos(a))).

Step 4: Simplify the numerator. - Distribute the terms in the numerator: 2sin(a) + 2sin(a)cos(a) + 2sin(a) - 2sin(a)cos(a). - Combine like terms: 4sin(a).

Step 5: Simplify the denominator. - Expand the denominator: (1-cos(a))(1+cos(a)) = 1 - cos^2(a). - Use the trigonometric identity cos^2(a) = 1 - sin^2(a) to simplify the denominator: 1 - (1 - sin^2(a)) = sin^2(a).

Step 6: Simplify the expression. - The expression becomes 4sin(a) / sin^2(a).

Step 7: Simplify further. - Cancel out the common factor of sin(a) in the numerator and denominator. - The final expression is 4 / sin(a).

Therefore, the solution to the expression (2sin(a)/(1-cos(a)) + 2sin(a)/(1+cos(a))) * tan(a) is 4 / sin(a).

Please note that the given expression does not specify the value of variable 'a'. If you provide a specific value for 'a', I can calculate the exact result for you.