Cannot be determined.
Area or perimeter should be provided to calculate the lenght but its not.
I'm only going to alter the left hand side. The right side will stay the same the entire time
I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)
So with that in mind, this is how the steps would look:
tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x
Identity is confirmed
Answer:
Length = 15
Width = 6
Area = 90
Step-by-step explanation:
Area of the rectangle =
Lets factorise the polynomial
We know that Area = Length × Width
Let the length be (x + 3) & width be (x - 6)
Its given in the question that x = 12. So putting the value of x gives ,
Length =
Width =
Area = Length × Width = 15 × 6 = 90
Answer:
Options B and D.
Step-by-step explanation:
The general form of sine function
where, |A| is amplitude, is period, is phase shift and D is y-intercept.
The general form of cosine function
where, |A| is amplitude, is period, is phase shift and D is y-intercept.
In function,
Amplitude :
y-intercept : -1
In function,
Amplitude :
y-intercept : -1
In function,
Amplitude :
y-intercept : 0
In function,
Amplitude :
y-intercept : -1
Therefore, the correct options are B and D.
First, do what's in the paranthesis:
(4*4-12)
Multiplication first:
16-12
Then subtract:
4
We get:
5-1+2*4*8
Multiply:
2*4
8
Multiply, again:
8*8
64
We get:
5-1+64
Subtract:
5-1
4
Add:
4+64
Answer: 68