Show that tan (45°) = 1
1 answer:
Answer:
Geometric proof in the explanation.
Step-by-step explanation:
Draw a square. A square has all equal sides and it's 4 angles each measure 90 degrees.
Draw a diagonal which will cut the square into two congruent isosceles right triangles.
So this will give you a 45-45-90 triangle.
I drew the triangle in the picture.
Tangent is opposite over adjacent so we don't need to find the hypotenuse in terms of a ( a is positive).
So tan(45)=a/a=1.
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Answer:
Step-by-step explanation:
We have been given that at a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m.
To find the area of the side walk we will subtract the area of inner edge of the side walk of lion pen from the area of the outer edge of the lion pen.
, where r represents radius of the circle.
Therefore, the exact area of the side walk is
To find the approximate area of side walk let us substitute pi equals 3.14.
Therefore, the approximate area of the side walk is .
Answer:
Option b
Step-by-step explanation:
To write the searched equation we must modify the function f (x) = | x | in the following way:
1. Do y = f(x + 4)
This operation horizontally shifts the function f(x) = | x | by a factor of 4 units to the left on the x axis.
y = | x +4 |
2. Do
This operation horizontally expands the function f (x) = | x | in a factor of 4 units.
3. Do
This operation vertically shifts the function f (x) = | x | by a factor of 4 units down on the y-axis.
4. After these transformations the function f(x) = | x | it looks like:
Therefore the correct option is option b. You can verify that your vertex is at point (-4, -4) by making f (-4)