Answer:
Option B
Step-by-step explanation:
A unit circle means radius of the circle = 1 unit
Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.
Center of the circle is origin (0, 0).
Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) = 
OP.Cosθ = 1×Cosθ = 
Cosθ =
θ = 
, 
where n = integers
Similarly, OP×Sinθ = 1×Sinθ = -
Sinθ = -
θ = 
, where n = integer
Common value of θ will be, θ = 
Option B will be the answer.
Answer with Step-by-step explanation:
We are given that
u+ v and u-v are orthogonal
We have to prove that u and v must have the same length.
When two vector a and b are orthogonal then
By using the property
We know that
Magnitude is always positive
When power of base on both sides are equal then base will be equal
Therefore,
Hence, the length of vectors u and v must have the same length.
Let
x-----------> <span>uniform width surrounding the picture
we know that
(10+2x)*(12+2x)=224-----> 120+20x+24x+4x</span>²=224
4x²+44x+120-224=0
4x²+44x-104=0
using a graph tool-----> to resolve the second order equation
see the attached figure
the solution is
x=2 in
the answer is2 inches
