What formula gives the x coordinate of the maximum value for y=cos(x)

Mathematics

2 answers:

lina2011 [118]3 years ago

8 0

Hints:
cos(x) has a maximum at x=0.
It is also a periodic function with a period of 2pi.

gizmo_the_mogwai [7]3 years ago

5 0

The given Trigonometric function is

y = Cos (x)

As the maximum value of Cosine (Theta) is 1. i.e

Maximum value of Cos (x) = 1

Cos (x) = cos (0 or 2 π)

If Cos (x) = Cos A

Then General formula for evaluating x is ,

x = 2 n π $\pm$ A, for n =......-3,-2,-1,0,1,2,3,4,5.....

Here, A= 0, so the value of x is =2 n π $\pm$ 0

x= 2 n π

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ololo11 [35]

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slava [35]

Answer:

$\text{1. }50^{\circ}\\\text{2. }80^{\circ}$

Step-by-step explanation:

1. The measure of an inscribed angle is always half the measure of the arc it forms. Since angle ACB forms arc AB with a measure of 100 degrees, the measure of angle ACB will be equal to $\frac{100}{2}=\boxed{50^{\circ}}$ .

2. Relating to problem 1, both inscribed angles marked in the figure form the same arc. All inscribed angles forming the same arc will have the same measure. Therefore, the measure of angle GEF is equal to $\boxed{80^{\circ}}$ .