We will use double angle identities:
cos (5x ) = sin (10x )
cos (5x ) = 2 cos (5x ) sin ( 5x )
cos ( 5 x) - 2 cos ( 5 x ) sin ( 5x ) = 0
cos ( 5 x ) · [ 1 - 2 sin (5 x) ] = 0
cos ( 5 x ) = 0 or : 1 - 2 sin (5 x) = 0
5 x = π/2 +kπ, k∈Z sin (5 x) = 1/2
x1 = π/10 + kπ/5 5 x = π/6+2kπ , k∈ Z
5 x = 5π/6 +2kπ , k∈ Z
x 2 = π/30 +2kπ/5
x 3 = π/9 + 2kπ/5
Answer:
Step-by-step explanation:
Hope that helps :)
Answer:
Yes, vectors u and v are equal.
Step-by-step explanation:
We need to check whether vectors u and v are equal or not.
If the initial point is 
and terminal point is 
, then the vector is
Vector v with an initial point of (-5,22) and a terminal point of (20,60).
..... (1)
Vector u with an initial point of (50,120) and a terminal point of (75,158).
.... (2)
From (1) and (2) we get
Therefore, vectors u and v are equal.
Answer:
96 cm^2
Step-by-step explanation:
All faces of a cube are equal in area.
Therefore the Formula for SA of a cube is 6*s^2
SA = 6*4*4 = 96
Answer: 1/12 of the box
Step-by-step explanation:
On Monday the dog ate 3/12 of the treats in the box and on Tuesday ate 2/12 of the treats in the box.
The answer to this question is the difference between both these fractions:
= 3/12 - 2/12
= 1/12 of the box
