Question

Помогите пожалуйста с задачей срочно нужно!!! tga=3/4; П<а<3п/2нужно найти sin2a,cos2a,ctg2a-?​

Answer 1

Ответ:

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Объяснение:

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Answer 2

Trigonometric Functions Calculation

To solve the given problem, we can use the trigonometric identities to find the values of sin 2a, cos 2a, and ctg 2a in terms of tga.

First, let's find sin 2a: sin 2a can be expressed as 2 * sin a * cos a. We already know that tga = 3/4, and we can use this information to find sin a and cos a.

Using the Pythagorean identity, sin^2a + cos^2a = 1, we can find cos a and sin a: cos a = ±√(1 - sin^2a) Given tga = 3/4, we can solve for sin a and cos a.

Next, let's find cos 2a: cos 2a can be expressed as cos^2a - sin^2a. We can use the values of sin a and cos a obtained earlier to calculate cos 2a.

Finally, let's find ctg 2a: ctg 2a can be expressed as (cos 2a) / (sin 2a). We can use the values of sin 2a and cos 2a obtained earlier to calculate ctg 2a.

Let's calculate these values step by step.