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Trigonometry

Trigonometry is a field of mathematics. It is the study of triangles. Trigonometry includes planar trigonometry, spherical trigonometry, finding unknown values in triangles, trigonometric functions, and trigonometric function graphs.

3,810 Questions

What is the answer of csc x plus cot x?

Without an "equals" sign somewhere, no question has been asked,

so there's nothing there that needs an answer.

Is it the sum that you're looking for ?

csc(x) + cot(x) = 1/sin(x) + cos(x)/sin(x) = [1 + cos(x)] / sin(x)

What are the solutions of 2 cos squared x minus cos x equals 1?

2cos2x - cosx -1 = 0

Factor:

(2cosx + 1)(cosx - 1) = 0

cosx = {-.5, 1}

x = {...0, 120, 240, 360,...} degrees

Evaluate the following without a calculator and leave in radical form cos 90 sin 270?

First draw the graph.

Label A S T C according to the order of plane.

Draw a 90 degree angle.

You see it's between All and Sin, so the answer is 0

Draw 270 degree angle.

You see it's between Tan and Cos, so the answer is -1

And when you mix them together, 0 times -1 = 0.

How do i simplify csc theta divided by sec theta?

By converting cosecants and secants to the equivalent sine and cosine functions. For example, csc theta is the same as 1 / sin thetha.

How does the military use trigonometry?

It is used to calculate the trajectories of projectiles and missiles.

How do nurses uses trigonometry?

Trigonometry helps you to easily read the rate of heart beats of a person and their blood pressure level as well.

How do you solve sin 2x equals sin x over 2?

they do have calculators for these questions you know

sin 2x = (sin x)/2

2 sin x cos x - (1/2)sin x = 0

2 sin x(cos x - 1/4) = 0

2 sin x = 0 or cos x - 1/4 = 0

sin x = 0 or cos x = 1/4

in the interval [0, 360)

sin x = 0, when x = 0, 180

cos x = 1/4, when x = 75.52, 284.48

Check:

How do you inverse one side of a trigonometric identity problem?

You must take the inverse of both sides, which is the equivalent of taking 1 divided by your terms.

What formula do you use to find the perimerter of a SSA triangle?

An SSA triangle is ambiguous.

Suppose the triangle is ABC and, with conventional labelling, you know a, b and angle A.

Then by the cosine rule, a2 = b2 + c2 - 2bc*Cos(A)

This equation will give rise to a quadratic equation in cwhich has 2 solutions. The perimeter is then a + b + c1 or a + b + c2

Why is 90 degrees taken as angle of reference in trigonometry?

It is not. The angle of reference is 2*pi radians or 360 degrees.

A man in a rowing away from light house 100 m high takes 2 minutes to changes the angle of elevation of the top of light house from 60 degree to 45 degree find the speed of the boat?

At the start his distance from the lighthouse is 100/tan(60) = 86.6 m.

After 2 minutes his distance from the lighthouse is 100/tan(45) = 70.7 m.

He travels 15.9 m in 2 minutes = 7.9 m per minute.

Why sine and cosine are functions of harmonic motion?

Simple harmonic motion (SHM( is defined by the second order differential equation:

d2y/dt2 = -ky

where y is a fubction of time, t and is the displacement (relative to the central position), and k is a positive constant.

The equation says is that at any given position of the object undergoing SHM, its acceleration is proportional to its displacement from, and directed towards the central position.

The sine and cosine functions are solutions to the differential equation.

What is the tangent of 0.47?

The tangent of 0.47 radians is about 0.508. The tangent of 0.47 degrees is about 0.00820.

How do you simplify cot of theta times sin of theta?

By converting everything to sines and cosines. Since tan x = sin x / cos x, in the cotangent, which is the reciprocal of the tangent: cot x = cos x / sin x. You can replace any other variable (like thetha) for the angle.

Why does sec 0 equals 1?

Secant is 1 over cosine and cosine 0 equals 1.