Answer:
a=5/2 a=2.5
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = {nπ -π/4, (4nπ -π)/16}
Step-by-step explanation:
It can be helpful to make use of the identities for angle sums and differences to rewrite the sum:
cos(3x) +sin(5x) = cos(4x -x) +sin(4x +x)
= cos(4x)cos(x) +sin(4x)sin(x) +sin(4x)cos(x) +cos(4x)sin(x)
= sin(x)(sin(4x) +cos(4x)) +cos(x)(sin(4x) +cos(4x))
= (sin(x) +cos(x))·(sin(4x) +cos(4x))
Each of the sums in this product is of the same form, so each can be simplified using the identity ...
sin(x) +cos(x) = √2·sin(x +π/4)
Then the given equation can be rewritten as ...
cos(3x) +sin(5x) = 0
2·sin(x +π/4)·sin(4x +π/4) = 0
Of course sin(x) = 0 for x = n·π, so these factors are zero when ...
sin(x +π/4) = 0 ⇒ x = nπ -π/4
sin(4x +π/4) = 0 ⇒ x = (nπ -π/4)/4 = (4nπ -π)/16
The solutions are ...
x ∈ {(n-1)π/4, (4n-1)π/16} . . . . . for any integer n
Answer:
x=30°
2x=60°
Step-by-step explanation:
Value of x°=x°/(2x°+x°)×90°
= 1/3×90°
=30°
Value of 2x°=30°×2
=60°
Answer:
215 i guess
Step-by-step explanation:
<em>The question is not clearly readable, but I'm assuming the expression which makes more sense, so you can have a clue</em>
Answer:
Step-by-step explanation:
<u>Powers of The Imaginary Unit</u>
The imaginary unit i is defined as
The first powers of i are
And so on the cycle repeats every four numbers. To find the value of 
we can find the remainder of 96/4=0. So 
The given expression is
Factoring
Since 
The required value is 0
