*In the 3rd blog of the series we’ll discuss some traditional and smart methods to solve trigonometry questions in SSC Exams.We know the value of sin only for some specific angles like 300, 450, 600 and so on, so there is no point in trying to substitute the value.Below is a math problem solver that lets you input a wide variety of trigonometry problems and it will provide the final answer for free. The version below will show you the final answer only.*

Note that the negative sign (part c) translates directly from degrees to radians. A small mark is painted at the very top of the tire, and then the tire is rolled forward slightly so that the mark rotates through an angle of pi/4 radians.

How far above the ground is the mark at this point?

Now, let's "rotate" the tire by radians (also equal to 45°).

We'll show the mark at its original position and its new position.

Trigonometry helps us find angles and distances, and is used a lot in science, engineering, video games, and more!

The triangle of most interest is the right-angled triangle.It is one of those divisions in mathematics that helps in finding the angles and missing sides of a triangle by the help of trigonometric ratios.The angles are either measured in radians or degrees.(We omit the "inner circle" of the tire for clarity.) We can use the basic facts of angles to redraw this situation in a more familiar form.Now, we want to find the height of the mark above the ground.Instead we need to some trigonometric formulas or identities to solve such trigonometry questions.Trigonometry is one of the important branches in the history of mathematics and this concept is given by a Greek mathematician Hipparchus.Or maybe we have a distance and angle and need to "plot the dot" along and up: Questions like these are common in engineering, computer animation and more. The main functions in trigonometry are Sine, Cosine and Tangent They are simply one side of a right-angled triangle divided by another. It is the ratio of the side lengths, so the Opposite is about 0.7071 times as long as the Hypotenuse. Also try 120°, 135°, 180°, 240°, 270° etc, and notice that positions can be positive or negative by the rules of Cartesian coordinates, so the sine, cosine and tangent change between positive and negative also. Because the radius is 1, we can directly measure sine, cosine and tangent.For any angle "θ": (Sine, Cosine and Tangent are often abbreviated to Get a calculator, type in "45", then the "sin" key: sin(45°) = 0.7071... Here we see the sine function being made by the unit circle: Note: you can see the nice graphs made by sine, cosine and tangent. Here are some examples: Because the angle is rotating around and around the circle the Sine, Cosine and Tangent functions repeat once every full rotation (see Amplitude, Period, Phase Shift and Frequency).The right angle is shown by the little box in the corner: Another angle is often labeled Why is this triangle so important?Imagine we can measure along and up but want to know the direct distance and angle: Trigonometry can find that missing angle and distance. = Play with this for a while (move the mouse around) and get familiar with values of sine, cosine and tangent for different angles, such as 0°, 30°, 45°, 60° and 90°. It is a circle with a radius of 1 with its center at 0.

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