Question

Sin 5x=-1Варианты ответов:A) -90B) -54C) -10D) -18

Answer 1

Sin5*(-18)=sin(-90°)
sin (-90°)=-1
Ответ: D

Answer 2

To solve the equation sin(5x) = -1, we need to find the values of x that satisfy the equation.

The value of -1 for sine corresponds to an angle of -90 degrees or -π/2 radians. We can find the solutions by setting 5x equal to -90 degrees plus any multiple of 360 degrees or -π/2 plus any multiple of 2π radians.

Let's solve for x:

5x = -90 + 360n (where n is an integer)

Dividing both sides by 5:

x = (-90 + 360n) / 5

Now let's check the given options:

A) -90: Plugging in -90 for x, we have sin(5(-90)) = sin(-450) which is not equal to -1.

B) -54: Plugging in -54 for x, we have sin(5(-54)) = sin(-270) which is not equal to -1.

C) -10: Plugging in -10 for x, we have sin(5(-10)) = sin(-50) which is not equal to -1.

D) -18: Plugging in -18 for x, we have sin(5(-18)) = sin(-90) which is equal to -1.

Therefore, the solution to the equation sin(5x) = -1 is x = -18.

The correct answer is D) -18.