The correct option is option D as 2cos²(x)cos²(x) simplifies as follows:
2cos²(x)cos²(x) = {3 + 4cos(2x) + cos(4x)} / 4
The given expression is : 2cos²(x)cos²(x)
The square identity for cosine is given by:
2cos²(x) -1 = cos(2x)
Thus,
2cos²(x) = {cos(2x) +1}
simplifying again,
cos²(x) = {cos(2x) +1}/2
Simplifying the above using squared identities:
2cos²(x)cos²(x) = {cos(2x) +1}cos²x
= {cos(2x) +1} {{cos(2x) +1}/2}
so,
2cos²(x)cos²(x) = {3 + 4cos(2x) + cos(4x)} / 4
Hence option D is correct.
Learn more about squared identities:
Answer:
D
Step-by-step explanation:
Answer:
9.33
Step-by-step explanation:
Find the diagram attached, to get the length of RT, we will use the pythagoras theorem as shown:
Hyp² = opp²+adj²
Hyp = 11
Adj = 6
Opposite = RT
Substitute into the formula
11² = opp²+6²
Opp² = 11²-6²
Opp² = 121-36
Opp² = 85
Opp = 9.22
Hence the measurel RT to nearest hundredth is 9.22
Answer:
Step-by-step explanation:
we know that
The rule of the translation is equal to
That means
The translations is units to the right and unit up
Let
-------> the coordinates of point B
------> the coordinates of point B'
Find the distance
the formula to calculate the distance between two points is equal to
substitute