answersLogoWhite

0

🎒

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 does the equation 15-g equals 23-2g?

step by step:

15-g=23-2g transpose -2g to other side

15-g+2g=23-2g+2g cancel 2g on the right side, and do operation on the left side

15+g=23 transpose 15 to other side to obtain variable=constant

15-15+g=23-15 cancel 15 on the left side, and do operation on the right side

g=8 you already have the value of g

Normal way:

15-g=23-2g

2g-g=23-15

g=8

I hope this could help you...

How can calculate sq mm to sq ft?

Divide by (14400*2.54^2).

Algebraic Steps / Dimensional Analysis Formula ____ mm²*1 cm²

100 mm²*1 in²

6.4516 cm²*1 ft²

144 in²=? ft²

Direct Conversion Formula ____ mm²*1 ft²

92903.04 mm²=? ft²

How do you find a side when you know 2 angles and a side?

you minus the bigger side by the smaller side

example: a 6 in side and a 2 in side. you do 6-2=4. the missing side is 4 in

How do you calculate the the arc of a sector?

To calculate the arc length of a sector:

calculate the circumference length, using (pi * diameter), then multiply by (sector angle / 360 degrees)

so : (pi * diameter) * (sector angle / 360) = arc length

Is it possible for the answer of sin49.5 to be negative?

If the 49.5 is in radians, then sin 49.5 ≈ −0.693 and so yes.

If the 49.5 is in degrees, then sin 49.5o ≈ 0.760

If the 49.5 is in gradians, then sin 49.5 ≈ 0.702

If the 49.5 is in some other angle measurement, then you'll have to decide as I only know Degrees, Radians and Gradians angle measures.

In Degrees, one full turn is 360o

In Radians, one full turn is 2π radians ≈ 6.283 radians

In Gradians, one full turn is 400 gradians.

Radians are most useful in calculus.

In fact you've used radians without realising it:

The length of an arc of angle θ of a circle of radius r is θr when θ is measured in radians; the length of an arc of a circle round one full turn (ie the circumference of a circle) is θr = 2πr since one full turn is 2π in radians.

What answer in sin cos tan?

sin is short for sine. Sin(x) means the ratio of the side of a right triange opposite the angle 'x' divided by the length of the hypotenuse.

cos is short for cosine. Cos(x) is equal to the similar ratio of the side adjacent to the angle 'x' divided by the length of the hypotenuse.

tan is short for tangent. Tan(x) is equal to the ratio of the opposite side divided by the adjacent side. This is the same as sin(x)/cos(x).

What is the value of tan 114 degrees?

tan114 = - 2.24604. This could easily be found by inputting the degree value into a calculator!

What is coordinates of points in the unit circle?

I'm not sure exactly what this question is asking, but I will attempt to answer.

An angle on the unit circle is created by drawing a straight line from the origin to a point on the circle.

The x-coordinate of a point corresponds to the cosine of the angle.

For example: cos(90o) = 0

The y-coordinate of a point corresponds to the sine of the angle.

For example: sin(270o) = -1

What is this expression as the cosine of an angle cos30cos55 plus sin30sin55?

cos(30)cos(55)+sin(30)sin(55)=cos(30-55) = cos(-25)=cos(25)

Note: cos(a)=cos(-a) for any angle 'a'.

cos(a)cos(b)+sin(a)sin(b)=cos(a-b) for any 'a' and 'b'.

What is the exact value of the expression cos 7pi over 12 cos pi over 6 -sin 7pi over 12 sin pi over 6?

cos(a)cos(b)-sin(a)sin(b)=cos(a+b)

a=7pi/12 and b=pi/6

a+b = 7pi/12 + pi/6 = 7pi/12 + 2pi/12 = 9pi/12

We want to find cos(9pi/12)

cos(9pi/12) = cos(3pi/4)

cos(3pi/4)= cos(pi-pi/4)

cos(pi)cos(pi/4)-sin(pi)sin(pi/4)

cos(pi)=-1

sin(pi)=0

cos(pi/4) = √2/2

sin(pi/4) =√2/2

cos(pi)cos(pi/4)-sin(pi)sin(pi/4) = - cos(pi/4) = -√2/2

How do you solve to find a right triangle of you are given three sides?

Square the two smaller sides and add them together. Take the square root of the answer. If that is the same as the third side then you have a right angled triangle and if not, then you have not.

Are theodolite and inclinometer same?

No. An inclinometer only measures vertical angle with respect to gravity. A theodolite adds measurement of horizontal angle to that measurement.

What are the double-angle and half-angle identities?

sin 2θ = 2(sin θ)(cos θ)

cos 2θ = (cos θ)2 - (sin θ)2

cos 2θ = 2(cos θ)2 - 1

cos 2θ = 1 - 2(sin θ)2

tan 2θ = 2(tan θ)/[1 - (tan θ)2]

sin θ/2 = ±√[(1 - (cos θ))/2]

cos θ/2 = ±√[(1 + (cos θ))/2]

tan θ/2 = ±√[(1 - (cos θ))/(1 + (cos θ))] ; cos θ ≠ -1

tan θ/2 = [1 - (cos θ)]/(sin θ)

tan θ/2 = (sin θ)/[1 + (cos θ)]

Does a triangular prism has 3 rectangular faces?

Short answer, yes.

Long answer, a triangular prism has two triangular faces, its bases, and three rectangular faces, its sides, which connect the two faces. Unfolding the prism into a net reveals a rectangle divided into three rectangular sections (these are the three rectangular faces) and two congruent triangles attached along a common edge to one of these rectangles (these are the two triangular faces).