Question

Sin(П-x)*ctgx=-0,5Ответ cosx=-1/2У меня получается -2как решить?

Answer 1

Sin(п-х) *ctgx=-0,5

Sin(x) *cosx/sinx= - 0,5(sin сокращаются)

Cos(x) =-0,5

Ну или: Cos(x)=-1/2

Answer 2

To solve the trigonometric equation sin(π - x) * ctgx = -0.5, we need to simplify it and find the value of cos(x). Let's go through the steps to solve it correctly:

Step 1: Use trigonometric identities to simplify the equation. Recall the following trigonometric identities:

• sin(π - x) = sin(x)
• ctgx = 1/tgx = cos(x)/sin(x)

Step 2: Substitute the identities into the original equation. sin(x) * (cos(x)/sin(x)) = -0.5

Step 3: Cancel out the common factor of sin(x). cos(x) = -0.5

So, the correct answer is cos(x) = -0.5, not cos(x) = -1/2. They are equivalent because -0.5 is the decimal representation of -1/2. So you were on the right track; it looks like it might have been a mistake in formatting the answer. Both -0.5 and -1/2 are correct representations of the solution to the equation.