What are the solutions of the equation sec(x)cot(x)= -2 on the interval [0,2pi]? Choose all correct answers.

Step-by-step explanation:

Given the equation sec(x)cot(x)= -2 on the interval [0,2π]. In order to get the value of x, the following steps must be followed.

sec(x)cot(x)= -2

From trigonometry identity, sec(x)= 1/cos(x) and cot(x)= 1/tan(x) = cos(x)/sin(x)

subsituting this expressions in the given equation we have;

1/cos(x)*cos(x)/sin(x) = -2

1/sin(x) = -2

sin(x) = -1/2

Since sin is negative in the 3rd and 4th quadrant,

In the 3rd quadrant, x = 180+30 = 210°

In the 4th quadrant, x = 360-30 = 330°

Converting the values to radian;

since 180° =  πrad

210° = 210π/180 rad

210° = 7π/6 rad

Similarly, 330° = 330π/180 rad

330° = 11π/6 rad

The solutions are 7π/6 and 11π/6

answer: 1722

step-by-step explanation:

given: the mass of saturn=

the mass of mercury=

the number of times the mass of saturn is greater than the mass of mercury

hence, the mass of saturn is 1722 times greater than the mass of mercury.

its totaly b

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