Question

Sina+cosa=1/3 sin2a-?

Answer 1

Ответ:

sina+cosa=1/3 sin2a=2/5

Answer 2

The equation you provided, "Sina+cosa=1/3 sin2a-?", seems to be related to trigonometry. To solve for the missing term, let's break down the equation step by step.

Starting with the equation:

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Sina + cosa = 1/3 sin2a - ?

First, we can use the trigonometric identity for the sine of the sum of two angles:

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sin(a + b) = sin(a)cos(b) + cos(a)sin(b)

Comparing this with the left side of the equation, we have:

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Sina + cosa = sin(a)cos(90° - a) + cos(a)sin(90° - a)

Since cos(90° - a) = sina and sin(90° - a) = cosa, the equation becomes:

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Sina + cosa = Sina + cosa

So, the left side of the equation remains the same.

Now, let's look at the right side of the equation, which involves 1/3 sin2a - ?.

The identity for the double angle of sine is:

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sin(2a) = 2sin(a)cos(a)

So, sin2a = 2sin(a)cos(a).

Substituting this into the equation:

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1/3 sin2a - ? = 1/3 * 2sin(a)cos(a) - ?
              = 2/3 sin(a)cos(a) - ?

It seems like you're missing a term on the right side of the equation. The equation cannot be simplified further or solved without more information about the missing term. If there was a specific value or expression for the missing term, we could proceed to solve the equation for that term.

If you have any additional information or corrections, please provide them so that I can assist you further.