Answer:
2.
a)1
b)1
c)1
Step-by-step explanation:
There's some identity trigonometric equation, which are valid for all angles,and they doesn't depends on the measure of angle!
some of em are follows:. (x is the given angle)
- sin(x)^2+cos(x)^2=1
- cosec(x)^2=1+cot(x)^2
- sec(x)^2=1+tan(x)^2
You can remember these identity, its gonna help alot.
now back to question,. {x is representing angles)
for (a) sin(x)^2+cos(x)^2=1, this is true for all x, dat means that for all the angle given in question(for ,15°,30°,45°,60° and 120°),we will get 1
for(b) ,
cosec(x)^2=1+cot(x)^2
i.e, cosec(x)^2-cot(x)^2=1, again this is true for all x dat means that for all the angle given in question ,we will get 1
for (c),
sec(x)^2=1+tan(x)^2
i.e,sec(x)^2-tan(x)^2=1,again this is true for all x, dat means that for all the angle given in question ,we will get 1
✌️:)
Answer:
3x - 20 = 13
Step-by-step explanation:
1. The word is signals the equal sign.
The difference of three times a number and 20 = 13
2. The word difference signals subtraction.
3. The phrase a number sigals that the number is unknown, so a variable should be used. In this case, I'll use x.
4. Three times that number = 3x.
The difference = subtraction.
3x-20=13
One property of the diagonals of a rhombus is that they are perpendicular bisectors of each other. So 4 congruent right triangles will be formed when you draw the two diagonals. Considering one right triangle, we can solve for the two sides by dividing them by 2.
24 ft/ 2 = 12 ft
18 ft/ 2 = 9 ft
Using the Pythagorean Theorem, we can now solve for the hypotenuse which is the side of the rhombus.
side = √(12²+9²) = 15 ft
The answer is B.
The length and width of the rectangle is 362 m and 272 m respectively.
Step-by-step explanation:
Let the length be "x m".
then the width = x - 90 m
Perimeter = 2 x (length + width) ------------------------------(1)
Substituting Length and width value in the above equation (1), we get,
2 x (x+x-90) = 1268
or, 2x - 90 = 1268/2
or, 2x - 90 = 634
or, 2x = 634 + 90
or, 2x = 724
or, x = 724/2
= 362
Thus the length = 362 m
width = 362 - 90 m = 272 m
