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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

Cos 5t cos 3t -square root 3 2 - sin 5t cos 3t?

The answer to the math question Cos 5t cos 3t -square root 3 2 - sin 5t cos 3t equals 0. In order to find this answer you will have to find out what each letter is.

What is exact value sin480degrees?

sin 480° is equal to sin 60°, which is sqrt(3)/2 or approximately 0.866.

How do you find the radius of a sphere that has a ratio of 1 to 2 for volume and surface area?

Surface area of sphere is 4 x pi x r x r

Volume of sphere is (4/3) x pi x r x r x r

Hence ((4/3) x pi x r x r x r) / (4 x pi x r x r) = 1/2

((4/3) x r) / (4) = 1/2

(1/3) x r = 1/2

r = 1 and 1/2

What is the formula in finding the height of a triangle?

NOTE: only works for isocoles (at least 2 sides of eqaul length and angle apart)

you need to use Pythagoras therom in the below manner:

(1/2 the base 1st to make 2 triangles)

the longest side (c) squared divided by 1/2 the base (b) squared = answer (a) squared. square root the answer to find the height

or in simpler terms

C^2/ 1/2 the base^2=A^2

C^2/B^2=A^2

which would be directly opposite to the formula a^2 * B^2 = C^2

If you have Cos theta equals 0.92568 How do you find theta in radians?

cos(t) = 0.92568

therefore t = cos-1(0.92568) = 0.3880.

If the answer comes out as 22.23, the calculator is set to degrees. Simply multiply that result by pi/180 to convert to radians (or reset the calculator to work in radians). Excel, for example, works in radians.

From that primary value you get

t = 0.3880 + 2*k*pi

and

t = 2*k*pi - 0.3880

for all integer values of k.

How do you find the sine of an angle?

sine[theta]=opposite/hypotenuse=square root of (1-[cos[theta]]^2)

What is tan theta in terms of sin theta in quadrant II?

tan = sin/cos

Now cos2 = 1 - sin2 so cos = +/- sqrt(1 - sin2)

In the second quadrant, cos is negative, so cos = - sqrt(1 - sin2)

So that tan = sin/[-sqrt(1 - sin2)]

or -sin/sqrt(1 - sin2)

How do you solve lntan(x)lnsin(x)-lncos(x)?

How do you solve ln|tan(x)|=ln|sin(x)|-ln|cos(x)|? Well you start by........

How many edges does an octohedron have?

Yes, an Octahedron has 8 faces. But how many edges? Let's see, 4 on top, 4 on bottom and 4 connectors. I think that would be a total of 12.

Xsquared plus 9x plus 14 divided by x plus 5?

(x^2 + 9x +14) / (x+5)

Factor (x^2 + 9x +14)

[(x+7)(x+2)]/[(x+5)], x cannot equal -5