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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 cos2 A?

cos2A = cos^2A-sin^2A (2A means the double angle .. :|)

How find sin30?

when we taking the right angle triangle,in this when taking the 30 degrees of one side ,then the ratio of the opposite side to the hypotenuse will 0.5 always.and this is called sin30 in trigonometry and...............this is answered by sreenivassn from narayana engineering college,gudur.

A triangular plot of land has sides that measure 5 meters 7 meters and 10 meters What is the area of this plot of land to the nearest tenth of a square meter?

This is NOT a Pythagorean triangle.

So we must fall back on the Cosine Rule for an agular value.

Cosine Rule is a^(2) = b^(2) + c^(2) - 2bcCosA

Algebraically rearranging

CosA = [a^(2) - b^(2) - c^(2)] / -2bc

Substituting

CosA = [10^(2) - 7^(2) - 5^)2)] / -(2(7)(5))

CosA = [100 - 49 - 25]/-70

CosA = 26/-70

CosA = -0.371428571...

A = Cos^(-1) -0.371428573

A =111.8037 481 ... degrees. -

Now area of triangle is 0.5 X Base X height

The height is = 7Sin(111.8037481...)

Hence are is 0.5(5)(7)Sin(111.8037481...)

Area = 16.248... m^(2)

Is arc of a circle a undefined term?

The Arc of a circle is that part of the circumference between two radii.

What is angle Theta if sine theta 0.03125?

Sin(theta) = 0.03125

Hence

theta = ArcSin(0.03125)

theta = 1.790784659... degrees.

What is the other name of trigonometry?

There is no other names!!!!

Howver 'the word' trigonmetry' comes from Latin, and means 'measuring triangles.'.

trigon ( a three sided 2-dimenstional figure) = triangle (modern).

Metry = to measure.

Solution for tan x is equal to cos x?

if tan x = cos x then

sin x / cos x = cos x

=> sin x = cos x cos x

=> sin x = cos2 x

=> sin x = 1 - sin2x

=> sin2x + sin x - 1 = 0

Using the quadratic formula

=> 1. sin x = 0.61803398874989484820458683436564

=> x = sin-1 (0.61803398874989484820458683436564)

or

=> 2. sin x = -1.6180339887498948482045868343656

=> x = sin-1 (-1.6180339887498948482045868343656)

What is the value of theta if 4sin theta is equal to 2?

4 sin(theta) = 2 => sin(theta) = 2/4 = 0.5.

Therefore theta = 30 + k*360 degrees or 150 + k*360 degrees where k is any integer.

What trig function has a value of 1?

All six trigonometric functions can take the value 1.

What is cosine 23?

This depends on whether 23 is in radians or degrees. If it is in degrees, then the answer is approximately 0.92. If it is in radians, then the answer is approximately -0.53.

What is the value of cos 46?

The value of cos 46 degrees is approximately 0.7193. Cosine is a trigonometric function that represents the ratio of the adjacent side to the hypotenuse in a right triangle. In this case, when the angle is 46 degrees, the cosine value is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

What is the sum of the first 100 odd numbers?

the answer is 2500

I am sorry but this answer is wrong. You only added the numbers between 1 and 100. The question is the first 100 odd numbers, you need to add 1 to 197. The correct answer is 10,000.

What is the csc of a 63 degree angle?

You can calculate this on any scientific calculator. Those calculators don't usually have a special key for the cosecans, but this is the same as 1 / sin(63).

How do Round 10.9 to 1 decimal place?

Well, honey, to round 10.9 to 1 decimal place, you just look at the digit right after the decimal point. If it's 5 or greater, you round up. So, 10.9 rounded to 1 decimal place is 11. Easy peasy, lemon squeezy!

What is the third square root of 216?

Do you mean (((216^(1/2))^(1/2))^(1/2)) or [216^(1/2)] / 3

The first answer is 216^(1/8) = 1.957973....

The second one is 216^(1/2) / 3 = 4.898979486....

What is the hardest math problem to solve with out the Order of Operations?

Oh honey, without the Order of Operations, you're just asking for a hot mess. Trying to solve complex math problems without following the correct order of operations is like trying to bake a cake without a recipe - you're gonna end up with a disaster. So, technically speaking, any math problem becomes a nightmare without those rules in place.

The function cot 115 degrees is equivalent to A -tan 65 degrees B -tan 25 degrees C tan 25 degrees D tan 65 degrees?

The cotangent function is the reciprocal of the tangent function, so cot(115 degrees) is equivalent to 1/tan(115 degrees). Since tan(115 degrees) is equivalent to -tan(65 degrees) due to the periodicity of the tangent function, cot(115 degrees) simplifies to -tan(65 degrees), which corresponds to option A.

The point where the x and y axis meet?

is called the 'origin' , and has the co-ordinates of (0,0)

How many feet from the base must a 39-foot ladder be placed so that the top of the ladder will reach a point on the house 36 feet from the ground?

Well, using a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse, you need to square 39 and 36. Then your equation should look like a^2 +1296 = 1521, then solve for a^2, getting the variable by itself, so you have a^2 = 225. Then take the square root of both sides leaving you with a= 15. So, the ladder must be placed 15 feet from the base of the house.

A triangle sides are 8Cm 11Cm and 15Cm What is the triangles area?

Well, darling, to find the area of a triangle with those side lengths, you can use Heron's formula. So, plug in those side lengths (a=8, b=11, c=15) into the formula, calculate the semi-perimeter, and then solve for the area. Voilà, you've got yourself the triangle's area.

Scott is standing 80 ft from the base of a tree He sees the top of the tree from an angle of elevation of 42 degrees His eye is 4.5 feet off the ground How tall is the tree?

Tangent of theta = Y/X, or opposite the angle/the adjacent of angle. So;

Tangent of 42 degrees = height/80'

80' tan 42 = height

= 72 feet ( you might want to subtract that 4.5 foot eye height )