Answer:
sinѲ = -1/√5 or -√5/5
Step-by-step explanation:
On the Cartesian plane, we have radius (r) and angle (Ѳ) theta.
On the Cartesian plane we also have x, y where:
x = r cosѲ .......Equation 1
and y = r sinѲ ........Equation 2
r = √x² + y²
In the question we are given points (2,-1)
Where x = 2 , y = -1
We would solve for r by substituting 2 for x and -1 for y
r = √ 2² + -1²
r = √ 4 + 1
r = √5
In the question, we were asked to find what sin theta (Ѳ) is. Hence, we would be substituting √5 for r in Equation 2
y = r sinѲ
Where y = -1 and r = √5
-1 = √5 sinѲ
Divide both sides by √5
sinѲ = -1/√5
We can also represent sin Ѳ in a proper form, by multiplying both top and bottom by √5
sinѲ = -√5/5
Therefore, sinѲ = -1/√5 of -√5/5
Answer:
Always
Step-by-step explanation:
The definition of a perpendicular line is that it intersects another at a 90 degree angle. Using this, by verticals, the opposite corner angle must also be 90-degrees, and since one side of a line is 180 degrees, 180-90 = 90, which ensure the rest of the angles will be 90 degrees too.
5,000+400+80+4+.3+.06+.006
Answer:
um whats the question ?
Step-by-step explanation:
.....
The Mathematical statement which includes addition, subtraction and multiplication:
→4+8x(18+5)+18+(8x4x5)+0x(5+3)
= 4 + 8 × 18 + 8 × 5 + 18 +(32 × 5) + 0 × 5 + 0 × 3 → [ Using distributive property which is , a × (b +c)= a × b + a × c, and (p × q × r)= [ (p × q) × r]
= 4 + 144 + 40 + 18 + 160 + 0 + 0
= 148 + 58 + 160 → [ Using addition property of natural numbers, as you can add natural numbers in any order]
= 206 + 160
= 366
