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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

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.

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

What is 2 thetasin theta equals cos theta?

It is a simple trigonometric equation. However, without information on whether the angles are measures in degrees or radians, and with no domain for theta, the equation cannot be solved.

What two numbers give you a product of 6.25 and a sum of 5?

Not two numbers- the same number twice: 2.5 and 2.5. To find this out, use simultaneous equations: xy=6.25 and x+y=5. Rearrange the second equation to y=5-x and substitute this value for y into the first equation: x(5-x)=6.25. Expand the brackets to get 5x-x2=6.25, subtract 6.25 from both sides to get -x2+5x-6.25=0. Apply the quadratic formula to find the final answer.

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

What is the angular velocity of a 50kHz sine wave?

Letω = angular speed (we can't do velocity with the given information),

f = frequency


ω = 2

π f

ω = 2

π (50 * 1000 Hz) = 100,000

π rad/sec ~= 314,159 rad/spec

Which basic trigonometric identity is actually a statement of the pythagorean theorem?

COS squared Theta + SIN squared Theta = 1; where Theta is the angles measurement in degrees.

Is cos theta is equal to 1?

No, not necessarily. Cosine theta is equal to 1 only when theta is equal to zero and multiples of 2 pi radians or multiples of 360 degrees. This is because cosine theta is hypotenuse over adjacent, and the ratio 1 only occurs at 0, 360, 720, etc. or 0, 2 pi, 4 pi, etc.

How do you find the height of a right angle?

Assuming you know the angle of ascension, and the base, you can calculate the height by recalling that tangent theta is height over base. Simple algebra from there: height is tangent theta times base.

Does cosec equals sin inverse?

Yes of course

cosec x is the inverse of sin x by definition in trigonometry sin x=opp. side/hypotenuse

cosec x= hypotenuse/opp.side

thank u

What is the exact trigonometric function value of cot 0?

There is no value cot 0, because cot 0 is equivalent to 1 / tan 0, which is equivalent to 1 / 0, which is undefined.

That said, the limit of cot x as x approaches 0 is infinity.