Left Hand Side :
sin
x
+
cos
x
cot
x
We know that
cot
x
=
cos
x
sin
x
Therefore
sin
x
+
cos
x
cot
x
=
sin
x
+
cos
x
⋅
(
cos
x
sin
x
)
=
sin
x
+
cos
2
x
sin
x
=
sin
2
x
+
cos
2
x
sin
x
(We know the Trigonometric Identity
sin
2
x
+
cos
2
x
=
1
)
=
1
sin
x
=
csc
x
(Because Cosecant is the reciprocal of Sine)
Hence Proved.
Answer: Angle CDG, I think.
Step-by-step explanation:
The definition of Corresponding Angle is: On the same side of the transversal. One is interior and the other is exterior.
Since ADE is interior, then the other angle must be exterior.
-2, 0, 0.4, 1/2, 1.1, 2 , 5/3
Negative numbers are always bigger= less smaller=more.
150 total acres...
he planted half the farm with squash.....150/2 = 75 acres squash
he planted 22% with carrots...0.22(150) = 33 acres carrots
150 - (75 + 33) = 150 - 108 = 42 acres cabbage <==
Equation of the given line is:
y = 3x + 2
Slope of the line = m = 3
Since we are to find equation of line parallel to this line, the slope of new line will be the same as slope of parallel lines is the same.
So we are to find a line with slope 3 and passing through the point (10,1). Using the point-slope form of equation we can write:
y - 1 = 3(x - 10)
y = 3x - 30 + 1
y = 3x - 29
⇒
- 3x + y = 29
So option C gives the correct equation of the line.
