Trigonometry

range of y=sin(2x) is [-1;1]

and in generally when is y=sin(k*x) (k=....-1,0,1....) range is always [-1;1] and the period is w=(2pi)/k

a = 0, b = 0.

The expression "cot theta = 1.5 sin theta" can be rewritten using the definitions of trigonometric functions. Since cotangent is the reciprocal of tangent, we have cot(theta) = cos(theta) / sin(theta). Therefore, the equation becomes cos(theta) / sin(theta) = 1.5 sin(theta), leading to cos(theta) = 1.5 sin^2(theta). This relationship can be used to find specific values of theta that satisfy the equation.

6.25

Show that sec'x = d/dx (sec x) = sec x tan x.

First, take note that

sec x = 1/cos x;

d sin x = cos x dx;

d cos x = -sin x dx; and

d log u = du/u.

From the last, we have du = u d log u.

Then, letting u = sec x, we have,

d sec x = sec x d log sec x; and

d log sec x = d log ( 1 / cos x )

= -d log cos x

= d ( -cos x ) / cos x

= sin x dx / cos x

= tan x dx.

Thence, d sec x = sec x tan x dx, and

sec' x = sec x tan x,

which is what we set out to show.

No.

6

tangent tables are used to find values of all angles..precisely..like tan 15 degress and 25 minutes.

1.37638 (rounded)

When x = 3.806663, tan(e^x) = 1.

Sine ira means "without anger".

It is the process of determining the differences of elevation of stations from observed vertical angle and known horizontal distance..

It is not! So the question is irrelevant.

It is impossible. You need another measurement, such as angle, side length or area etc.

You cannot solve a set You may be able to solve some questions about properties of a set, or the set and another set. But a set, by itself, is not something that requires or can be "solved".

sin (95 deg) = 0.9962

If angles are measured in radians, the graph consists of the set of points (0.1974+k*pi, 5) where k is an integer. If they are measured in degrees, the points are (11.31+k*180, 5)

From Port. cobra (de capello) "serpent (of the hood)," from L. colubra "a snake," of uncertain origin. The word came to Eng. via Portuguese colonies in India, where the native name is nag.

A straight line, through the origin, with a gradient of 1/2.

The Answer is 1 coz, 1-Tan squarex = Cot square X. So cot square x divided cot square x is equal to 1

tan x = sin x / cos x

sin x = x - (x^3/3!) + (x^5/5!) - (x^7/7!) + (x^9/9!) ... to infinity

cos x = 1 - (x^2/2!) + (x^4/4!) - (x^6/6!) + (x^8/8!) .. to infinity

tan 165 degrees = -0.267949192

sin2x

because sin2x + cos2x = 1

Use a ruler.

A Heptagon is a 7 sided polygon.

A Hectagon is a 100 sided polygon.

The spell check says it's not spelled correctly, but it is.