Answer:
The trigonometric ratios are presented below:





Step-by-step explanation:
From Trigonometry we know the following definitions for each trigonometric ratio:
Sine
(1)
Cosine
(2)
Tangent
(3)
Cotangent
(4)
Secant
(5)
Cosecant
(6)
Where:
- Adjacent leg.
- Opposite leg.
- Hypotenuse.
The length of the hypotenuse is determined by the Pythagorean Theorem:

If
and
, then the trigonometric ratios are presented below:





82$ and 74$ since there is a variety of the same numbers
Answer:
1. The minus before the |x| reflects the function in the x-axis. So it will still be V-shaped but instead but refected in the x-axis.
2. The +4 moves the function vertically 4 units upwards.
Step-by-step explanation:
We are given the function f(x) = - |x| +4. We know that the function f(x) = |x| only has positive values, so when x>0 the function is a straight line as in the function f(x) = x. When x<0 the function is also positive, as in the function f(x) = -x. So the graph is V-shaped with the vertex at the origin.
The f(x) = - |x| +4 has two important caracteristics:
1. The minus before the |x| reflects the function in the x-axis. So it will still be V-shaped but instead but refected in the x-axis.
2. The +4 moves the function vertically 4 units upwards.
So the graph of f(x) = - |x| +4 will be V-shaped, reflected in the x-axis and moved 4 units upwards.
Attached you can find the graph
Answer:
theta =36.45268177
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos theta = 74/92
Taking the inverse cos of each side
cos^-1 ( cos theta) = cos^-1 (74/92)
theta =36.45268177