Q&A for How to Learn Trigonometry

Trigonometric proofs are quite difficult but you can crack it. Try to solve any one side first: left or right. Then, use trigonometric identities according to the opposing side.

Practice everyday, even if it means doing the same assignment twice. You can also buy books and exercise books for extra practice. Lastly, you can always consider getting a tutor to help you understand certain topics.

It's quite difficult to remember trigonometric identities but you can easily learn it by practicing the formulas by writing them out again and again on scrap paper. Write both LHS and RHS of formulas again and again, as this will help you to properly remember.

It's easy. First see the trigo ratio table, then you will find that the ratios of sin30˚ & cos60˚ are the same. Likewise, the ratios of cos30˚ & sin60˚ are similar. Sin and cos45˚ are 1/√2. Tan30˚ & 60˚ are just the opposites. For 0˚- 0,1,0 and 90˚-1,0, undefined. Learn in the form of sinx,cosx and tanx for all the ratios.

Trigonometric ratios are easy to learn. The acronym for them is SOH-CAH-TOA, meaning that sin theta is equal to opposite over hypotenuse, cos theta is equal to adjacent over hypotenuse, and tan theta is equal to opposite over adjacent.

The most often used functions are sine, cosine, and tangent. The other main functions are simply the reciprocals of these three.

You would need a calculator, a measuring tape, and an instrument called a sextant. You would set up the sextant at a measured distance from a wall. (Set up as far from the wall as possible.) Use the sextant to find the angle at the sextant between the floor of the gym and the top of the wall (the ceiling of the gym). Use a trigonometry table to find the tangent of the measured angle. Multiply the tangent by the distance from the sextant to the wall. That gives you the distance from the sextant to the ceiling. Add the distance from the sextant to the floor, and you have the full height of the ceiling. If you want the height of the roof, you'd have to do this same procedure outside.

As long as you can collect the relevant resources, studying without a tutor should be easy. If you have a textbook for the subject, you should be fine. Alternatively, there are plenty of resources online if you need assistance.

It's customary to study geometry before taking trig, but it's not absolutely necessary. It's just helpful in understanding the relationship between angles and sides in a triangle.

Trigonometry is the mathematical basis for describing rotations and periodic phenomena of all kinds, which are found in astronomy, mechanical/electrical engineering, music, biology, and much more. Trigonometry is also used to find the distance of nearby stars and other astronomical objects. Finally, the fast Fourier transform -- an algorithm that decomposes a complex wave into sines and cosines -- is used ubiquitously for signal analysis, data compression, and other similar applications.

Start with the obvious solution A=9A=0. But there may be more since sine isn't a one to one function. You can find the others by solving A = 9A +2pi k, for any integer k. (Using the periodicity of sine.) Now add in the reflective symmetry and solve A = pi-(9A + 2 pi k).

3.14159. You can even remember this as the 14th day of March. You can think of pi like the eating kind of pie. You can think of pi in any way you prefer.

Both depend on angles and distances. Geometry mostly focuses on angles only in terms of equality of angles and sums of angles. Trigonometry focuses on the Identities, Functions, and the Arc Circle.

Yes. Trig deals with angles and triangles. Geometry is a good introduction to those topics.

Trigonometry is used in architecture, music theory, engineering, manufacturing, design, and even things like measuring the height of tides in oceanography.

First position yourself a convenient, measurable distance from the tree (the actual distance doesn't make too much difference). Measure that distance. Next use a tool such as a sextant to measure the vertical angle at your position between the ground and the top of the tree. Then use a trig table to find the tangent of the angle you've measured. Finally multiply the tangent by the distance from you to the tree. That gives you the height of the tree.

1 / tan x (the reciprocal of tan x) is the cot x (the cotangent).