Answer:
Step-by-step explanation:
given the expression;
cos(2x) = cos(x)
According to trig identity;
cos(2x) = cos(x+x)
cos(2x) = cos x cos x - sinx sinx
cos(2x) = cos²(x)-sin²(x)
cos(2x) = cos²(x)-(1-cos²x)
cos(2x) = cos²(x)+cos²x-1
cos(2x) = 2cos²(x)-1
2cos²(x)-1 = cos(x)
let P = cosx
2P²-1 = P
2P²-P-1 = 0
Factorize;
2P²-2P+P-1 = 0
2P(P-1)+1(P-1) = 0
2P - 1 = 0 and P-1 = 0
P = 1/2 and 1
cosx = 1/2 and cos x = 1
x = arccos 1/2
x = π/3
Also;
x = arccos1
x = 0
Hence the value of x are 0 and π/3
Also the angle = π+ π/3 = 4π/3
The angles are 0, π/3 and 4π/3
4.) The dotted line on the trapezoid is one of the lines. As you can see, to the left of the line is a right triangle. The other line should be drawn on the right side of the trapezoid to section off the other triangle. Now there is a rectangle in the middle with dimensions of 8 cm by 6 cm, and two identical triangles on either side. To find their base length, we can subtract 8 from 12 to get 4. These difference represents the sum of the two triangles' bases. Since the triangles are identical, we can divide 4 in half to get a base of 2 cm for each triangle. Therefore the triangles both have dimensions of 2 cm by 6 cm.
To find the area, we can add together the areas of the triangles and rectangle. We use length times width to find the area of a rectangle, and we use one-half base times height to find the area ofo a triangle.
Rectangle: 8*6 = 48 cm^2
Triangle: 0.5*2*6 = 6 cm^2
So the area of the trapezoid is 48 + 6 + 6 = 60 cm^2
Is there a reading? Wnenenwen
Answer:
−3(x+9)
Step-by-step explanation:
What do you mean by the first question?
6
