Author: misamaliraza94
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Law of Sines
In these lessons, we will learn the Law of Sines, how to use the Law of Sines when given two angles and one side, how to use the Law of Sines when given two sides and a non-included angle, about the ambiguous case when using the Law of Sines, about the “no solutions” case when…
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Applications Of Trigonometry
Hints On Solving Word Problems Or Applications Of Trigonometry: If no diagram is given, draw one yourself. Mark the right angles in the diagram. Show the sizes of the other angles and the lengths of any lines that are known Mark the angles or sides you have to calculate. Consider whether you need to create…
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Real-Life Examples of Trigonometry
Trigonometry has many real-life examples used broadly. Let’s get a better idea of trigonometry with an example. A boy is standing near a tree. He looks up at the tree and wonders “How tall is the tree?” The height of the tree can be found without actually measuring it. What we have here is a…
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Tangent Ratio Problems
In these lessons, we will learn how to find angles and sides using the tangent ratio and how to solve word problems using the tangent ratio. Hints on solving trigonometry problems: If no diagram is given, draw one yourself. Mark the right angles in the diagram. Show the sizes of the other angles and the…
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Sine Ratio Problems
In these lessons, we will learn how to find the angles and sides using the sine ratio and how to solve word problems using the sine ratio. Hints on solving trigonometry problems: If no diagram is given, draw one yourself. Mark the right angles in the diagram. Show the sizes of the other angles and…
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Use Cosine To Calculate The Side Of A Right Triangle
Example:Calculate the value of cosθ in the triangle. Solution:Use the Pythagorean theorem to evaluate the length of PR. How To Use Tangent To Calculate The Side Of A Triangle? Example: Calculate the length of the side x, given that tan θ = 0.4 Solution: How To Use Sine To Calculate The Side Of A Triangle?…
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Trigonometric Word Problems
In these lessons, examples, and solutions we will learn the trigonometric functions (sine, cosine, tangent) and how to solve word problems using trigonometry. The following diagram shows how SOHCAHTOA can help you remember how to use sine, cosine, or tangent to find missing angles or missing sides in a trigonometry problem. Scroll down the page…
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Inverse trigonometry Examples
If we know the size of an angle, we can find the sin, cos and tan of the angle by using a scientific calculator. We can also use a calculator to find the inverse or reverse of this. If we know the sin, cos or tan of an angle, we can find the size of the angle.…
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Inverse Trigonometric Functions Properties
The inverse trigonometric functions are also known as Arc functions. Inverse Trigonometric Functions are defined in a certain interval (under restricted domains). Trigonometry Basics Trigonometry basics include the basic trigonometry and trigonometric ratios such as sin x, cos x, tan x, cosec x, sec x and cot x.
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Inverse Trigonometric Functions Derivatives
The derivatives of inverse trigonometric functions are first-order derivatives. Let us check here the derivatives of all the six inverse functions. Inverse Trig Function dy/dx y = sin-1(x) 1/√(1-x2) y = cos-1(x) -1/√(1-x2) y = tan-1(x) 1/(1+x2) y = cot-1(x) -1/(1+x2) y = sec-1(x) 1/[|x|√(x2-1)] y = csc-1(x) -1/[|x|√(x2-1)]