TOPICS
This page:
trigonometry
Search
Dr. Math
See also the
Dr. Math FAQ:
trigonometry formulas
See also the
Internet Library:
trigonometry
HIGH SCHOOL
About Math
Analysis
Algebra
basic algebra
equations/graphs/
translations
linear algebra
linear equations
polynomials
Calculus
Complex Numbers
Calculators/
Computers
Definitions
Discrete Math
permutations/
combinations
Exponents
Logarithms
Fibonacci Sequence/
Golden Ratio
Fractals
Functions
Geometry
Euclidean/plane
conic sections/
circles
constructions
coordinate plane
triangles/polygons
higherdimensional
polyhedra
nonEuclidean
practical geometry
symmetry/tessellations
History/Biography
Interest
Logic
Negative Numbers
Number Theory
Physics/Chemistry
Probability
Projects
Puzzles
Sequences/Series
Sets
Square/Cube Roots
Statistics
Transcendental
Numbers
Trigonometry

Browse High School Trigonometry
Stars indicate particularly interesting answers or
good places to begin browsing.
Selected answers to common questions:
DeMoivre's theorem.
Volume of a tank.
 Rotating a Point around an Angle [05/16/1997]

How do you derive the formulas for rotating a point around an angle?
 Scaling a Right Triangle [12/01/2003]

Start with a right triangle of known dimensions. Move the hypotenuse
by some distance towards the right angle. What are the dimensions of
the new triangle?
 Secant, Cosecant, and Cotangent [01/16/1997]

How do you understand the secant, cosecant, and cotangent functions?
 Shadow Moving Along a Wall [08/16/1999]

There is a light at the front of a circular arena. A boy starting from B
runs at the rate of 3 m/s toward the center C. At what rate will his
shadow be moving along the rear wall when he is halfway from B to C?
 The Shortest Crease [12/29/1997]

A piece of paper is 6 units one side and 25 units on another side...
 Shot Out of a Cannon [10/12/1998]

A performer is shot out of a cannon at 30 degrees from the horizontal, to
land 20 meters away... What should his initial speed be?
 Signs of Sines (and Other Trigonometric Ratios) [07/11/2002]

The trigonometric ratios have the signs + or , depending on the
quadrant. How do you know which signs to use in which quadrants?
 Simplifying Circle Formulas from the Dr. Math FAQ [04/30/2004]

In your FAQ on circle formulas, in the sections where the other five
values are derived from any two known values, could you write each
formula in terms of only the two known values, instead of using the
intermediate steps?
 Simplifying Expressions with DoubleAngle Formulas [05/25/1998]

Using doubleangle formulas, can you help me express 1  2*sin^2(4x) and
2*sin(5x)*cos(5x) as a single function?
 Simplifying Expressions with Trig Functions [04/04/2001]

How can I solve problems like: 4 csc(3pi/4)  cot(pi/4)?
 Simplifying Trigonometric Equations [06/02/1998]

I need help simplyifying the following trigonmetric equation and proving
the trigonometric identity...
 Simplifying Trigonometric Expressions [9/13/1995]

A student asks for help simplifying and solving trigonometric
expressions.
 Simplify Numerator and Denominator [4/15/1996]

What is the algebra, or actually the trig that lets you simplify: 
sin x + 1 / (1 sin x)^2
 Simulating Sound Waves [10/27/2000]

How can I simulate a sound wave that reaches a maximum height every
seventh crest?
 A Sine, a Double Angle Sine, a Square Root  and an Imaginative Substitution [05/19/2011]

A student of trigonometric identities seeks help with a proof involving sines of double and
quadruple angles, as well as a square root. Invoking de Moivre's Theorem to approach the
problem indirectly, Doctor Anthony manufactures a quadratic substitution with
particularly helpful root sums and products.
 Sine and Cosine Addition Formulas [11/29/2000]

Can you prove the addition formulas for sine and cosine? Also, if sin(2Q)
= a, then what is sin(Q) + cos(Q) in terms of a?
 Sine and Secant [04/30/2002]

Why isn't secant the reciprocal of sine and cosecant the reciprocal of
cosine?
 Sine, Cosine, and Tangent on a Circle [04/14/1999]

Where are the sine, cosine, and tangent on a unit circle?
 Sine/Cosine Equations [10/23/1996]

Are there equations for sine or cosine?
 Sine, Cosine, Tangent [03/13/2001]

What are sine, cosine, and tangent?
 Sine, Cosine, Tangent; Fourmeter Ladder [6/15/1996]

Is there any way to perform these functions without a calculator?
 Sine Function and Unit Circle [08/15/2003]

Solve for x, where x is an integer: sin(pi/x) = square root2/2.
 Sine numbers in Charts for Angles [12/22/1997]

I am a toolmaker and I'd like to know where the numbers in sine charts or
on a calculator come from.
 The Sine of 1 Degree [01/07/2001]

How can I find an exact value for the sine of 1 degree using only the
values of sine for special angles and the angleaddition formulas?
 Sine of 36 Degrees [11/18/2001]

Ptolemy calculated the sine of 36 degrees geometrically using the
construction of a regular pentagon. How did he do it?
 Sine of an Angle and Opposite Side [5/17/1996]

Given triangle ABC inscribed in a circle, prove why (sin A)/a equals the
diameter of the circle.
 Sines and equations [12/3/1994]

I am a tenth grade student taking AMF (advanced mathematical functions)
and was given the problem: 0<=X<=150; when does the Sin 8X = Sin X? I had
no problem doing this on my graphing calculator, and finding the
intersects between the functions, but is there any way to do this by
using some sort of equation?
 Sine Series [09/09/1998]

What does sin1*sin2*sin3***sin179 equal in degrees?
 Sine, Simply? [10/27/2011]

Taught to evaluate trigonometric expressions with a calculator, a student wonders if
there are simple formulas behind sine, cosine, and tangent. Doctor Jerry introduces the Maclaurin series and CORDIC algorithm.
 Sine Squared [06/27/2003]

What is sine squared, and how do you enter it in a calculator? How do
you use trig when there isn't a right triangle?
 Sin of More Than 2pi, 360 Degrees [8/6/1996]

How do you find the sin of 2020?
 Sin x^2, Sin^2 x, (Sinx)^2 [09/12/2001]

What is the difference between sin x^2, sin^2 x, and (sinx)^2?
 Sin(x) = x? [07/01/1999]

Is it true that when x is very small (e.g. x = 10^70), then sin(x) = x?
Why?
 Solution for Trig Equality [7/27/1996]

Sin x = Cos x  what does it mean?
 Solve for x [10/26/2001]

Solve for x over (0,2pi): 1) tan^2 x = 2sec x  1; 2) sin x  sqrt3 cos x
= 1.
 Solving and Simplifying using Trig Identities [12/5/1995]

Could you please help? 1. Solve for x: 20.0^(3x) = 85.0 2. Simplify: 1 +
(sec^2(@) / cos^2(@)) 3. Show that tan^4(y)  sec^4(y) = 1  2sec^2(y)
 Solving an Equation with Sines and Exponents [05/24/2000]

How can I solve the equation sin^2(exp(cx)) + sin^2(exp(c+x)) = 0, where
x is a (real) unknown and c is a real positive constant?
 Solving a Periodic Function [3/31/1996]

Solve: sin2z = 5
 Solving a Quartic Polynomial using a Trig Substitution [12/27/2001]

I need help solving this system: y/sqrt(y^2+64) = (x+y)/25; x/sqrt(x^
2+64) = (x+y)/20.
 Solving a Trig Equation [3/11/1996]

(sin (alpa))/(alpha) = ?
Page: [<prev]
1
2
3
4
5
6
7
8
9
10
11
12
13
[next>]
