Answer:
no solution
Step-by-step explanation:
it's just 41
Answer:
The correct answer is x > 2.
Step-by-step explanation:

An inequality compares two quantities unlike an equality. An inequality is written with either a greater than ( > ) or lower than ( < ) or greater than equal to (
) or less than equal to (
) signs. We solve the above given inequality to find the solutions of the unknown x.

Firstly we change the right hand side quantity to fraction.
We then transfer the -
to the right hand side and add them. The inequality sign does not change as we are simply adding or subtracting terms from both the ends.
Finally we divide both sides with
to get the required solution. The inequality sign does not change as we are multiplying both the ends with a positive quantity.
This gives us the answer as x > 2.
Answer:
i) sin(2x) = 
ii) cot(x+360) = 
iii) sin(x-180) = 
Step-by-step explanation:
sec(x) = 2
Since cos(x) is reciprocal of sec(x), this means:
cos(x) = 
cosec(x) is negative , this means sin(x) is also negative. The only quadrant where cos(x), sec(x) are positive and sin(x), cosec(x) are negative is the 4th quadrant. Hence the terminal arm of the angle x is in 4th quadrant.
Part i)
sin(2x) can be simplified as:
sin(2x) = 2 sin(x) cos(x)
First we need to find the value of sin(x). According to Pythagorean identity:

Since, angle is in 4th quadrant, sin(x) will be negative. So considering the negative value of sin(x) and substituting the value of cos(x), we get:

So,

Part ii)
We have to find cot(x + 360)
An addition of 360 degrees to the angle brings it back to the same terminal point. So the trigonometric ratios of the original angle and new angle after adding 360 or any multiple of 360 stay the same. i.e.
cot(x + 360) = cot(x)

Using the values, we get:

Part iii)
We need to find the value of sin(x - 180)
sin(x - 180) = - sin(x)
Addition or subtraction of 180 degrees changes the angle by 2 quadrants. The sign of sin(x) becomes opposite if the angle jumps by 2 quadrants. For example, sin(x) is positive in 1st quadrant and negative in 3rd quadrant.
So,
sin(x - 180) = 
Answer:
54º
Step-by-step explanation:
So a complimentary angle equals 90º. Come up with an equation, such as 36 + x = 90. And now all you have to do is solve.
36 + x = 90
-36 -36
------------------
x = 54
Another way is, "less" means subtract. And complimentary means two angles that equal 90º. So you can do 90 - 36 which equals 54