Answer:
sin²x = (1 - cos2x)/2 ⇒ proved down
Step-by-step explanation:
∵ sin²x = (sinx)(sinx) ⇒ add and subtract (cosx)(cosx)
(sinx)(sinx) + (cosx)(cosx) - (cosx)(cosx)
∵ (cosx)(cosx) - (sinx)(sinx) = cos(x + x) = cos2x
∴ - cos2x + cos²x = -cos2x + (1 - sin²x)
∴ 1 - cos2x - sin²x = (1 - cos2x)/2 ⇒ equality of the two sides
∴ (1 - cos2x) - 1/2(1 - cos2x) = sin²x
∴ 1/2(1 - cos2x) = sin²x
∴ sin²x = (1 - cos2x)/2
Answer:
Step-by-step explanation:
hello :
note :
Use the point-slope formula.
y - y_1 = m(x - x_1) when : x_1= -4 y_1= 0
m= +5/4 (parallel means same slope)
an equation in the point-slope form is : y +0= -5/4(x+4)
Answer:
Always
Step-by-step explanation:
we know that
If points A, B, and C lie on a line, the the sum of the length of segment AB plus the length of the segment BC is always the length of segment AC
so
AC=AB+BC
Answer:
1.)
132 cm - 11 cm = 121 cm
So let the hypotenuse be x and the other leg be (121 - x).
11^2 + (121 - x)^2 = x^2
121 + 121^2 - 121(2)x = 0
x = 1/2 + 121/2 = 61 cm
Step-by-step explanation: not sure if this is right or not
