Find the exact value of cot7pi/4
2 answers:
Answer:
-1
Step-by-step explanation:
The radian gives the coordinates: ( (found using the unit circle)
cot=x/y
Plug the x and y coordinates into their respective places in the equation.
You get the answer of -1.
Answer:
-1
Step-by-step explanation:
Use a unit circle to find "exact" values.
On the unit circle, first find your angle, 7pi/4. Its a big angle, 315° that's trivia right now though.
Then look at the coordinates of the point at 7pi/4. They are:
(root/2, -root2/2) See image.
sin is the y coordinate. cos is the x coordinate. tangent is y/x.
cotangent is the reciprocal of tangent. This means to find cotangent, flip over tangent.
cotangent is x/y.
cot 7pi/4 =
(root2/2)over(-root2/2)
= -1
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Step-by-step explanation:
a. Area of a circle = πr², where r means radius.
Step 1: converted diameter to radius.
diameter = 2 radius
In other way of writing, radius = diameter.
Step 2: substitute radius into the formula.
Area of a circle = π(d)²
Step 3: substitute π into the formula.
some question is given the value of π), if not substitute 3.14 for π.
Area of a circle = 3.14(d)²
Step 4: substitute d into the formula, then we can solve its area.
b. a. Circumference of a circle = 2πr, where r means radius.
Step 1: converted diameter to radius.
diameter = 2 radius
In other way of writing, radius = diameter.
Step 2: substitute radius into the formula.
C = 2π(d)
Step 3: substitute π into the formula.
some question is given the value of π), if not substitute 3.14 for π.
C = 2(3.14)(d)
Step 4: substitute d into the formula, then we can solve its circumference.