Answer:
- sin(x) = 1
- cos(x) = 0
- cot(x) = 0
- csc(x) = 1
- sec(x) = undefined
Step-by-step explanation:
The tangent function can be considered to be the ratio of the sine and cosine functions:
tan(x) = sin(x)/cos(x)
It will be undefined where cos(x) = 0. The values of x where that occurs are odd multiples of π. The smallest such multiple is x=π/2. The value of the sine function there is positive: sin(π/2) = 1.
The corresponding trig function values are ...
tan(x) = undefined (where sin(x) >0)
sin(x) = 1
cos(x) = 0
__
And the reciprocal function values at x=π/2 are ...
cot(x) = 0 . . . . . . 1/tan(x)
csc(x) = 1 . . . . . . .1/sin(x)
sec(x) = undefined . . . . . 1/cos(x)
Answer:
Step-by-step explanation:
The formula for distance is:
Where (x₁, y) and (x₂, y₂) are the points.
We are given (-6, 6) and (-3, 3). If we match the value and its corresponding variable, we see that:
- x₁= -6
- y₁ = 6
- x₂ = -3
- y₂ = 3
Substitute the values into the formula.
Solve inside the parentheses.
- -3 --6 = -3+6 = 3
- 3-6 = -3
Solve the exponents.
- (3)²= 3*3= 9
- (-3)²= -3*-3 =9
Add.
Round to the nearest tenth. The 4 in the hundredth place tells us to leave the 2 in the tenth place.
The distance between the two points is apprximately <u>4.2</u>
Answer:
(
, 
Step-by-step explanation:
Given the 2 equations
- 2x = 16 - 8y → (1)
x + 4y = 25 → (2)
Rearrange (2) expressing x in terms of y by subtracting 4y from both sides
x = 25 - 4y → (3)
Substitute x = 25 - 4y into (1)
- 2 (25 - 4y) = 16 - 8y ← distribute left side
- 50 + 8y = 16 - 8y ( add 8y to both sides )
- 50 + 16y = 16 ( add 50 to both sides )
16y = 66 ( divide both sides by 16 )
y = 
=
Substitute this value into (3) for corresponding value of x
x = 25 - 4 × )
= 
- 
=
Solution is ( , )
Answer:
225
Step-by-step explanation:
360 - 135 = 225
Example of distributive property: 4(2+3)
The first step is to multiply the 4 and the 2
It will now look like 8+4(3)
Now you must multiply the 4 and the 3
Then it will look like 8+12
In which 8+12=20
