Trignometry formulas?

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Really, A nice chart , Approximately All formulas are mentioned here ... Thanks for providing this..

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Trigonometry is a branch of mathematics that deals with the study of triangles and their properties. It involves the relationships between the angles and sides of a triangle. There are many formulas in trigonometry that are used to solve problems related to triangles. Some of the most commonly used formulas in trigonometry are:

1. Trigonometric Ratios:
Trigonometric ratios are the ratios of the sides of a right-angled triangle. There are three main trigonometric ratios, namely, sine, cosine, and tangent. The formulas for these ratios are as follows:
- sin(theta) = opposite/hypotenuse
- cos(theta) = adjacent/hypotenuse
- tan(theta) = opposite/adjacent

2. Pythagorean Identities:
The Pythagorean identities are a set of equations that relate the sides of a right-angled triangle. The most well-known Pythagorean identity is:
- a^2 + b^2 = c^2

3. Sum and Difference Formulas:
The sum and difference formulas are used to find the trigonometric ratios of the sum or difference of two angles. These formulas are:
- sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
- sin(A - B) = sin(A)cos(B) - cos(A)sin(B)
- cos(A + B) = cos(A)cos(B) - sin(A)sin(B)
- cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

4. Double Angle Formulas:
The double angle formulas are used to find the trigonometric ratios of twice the angle. These formulas are:
- sin(2A) = 2sin(A)cos(A)
- cos(2A) = cos^2(A) - sin^2(A)
- tan(2A) = 2tan(A)/(1-tan^2(A))

5. Half Angle Formulas:
The half angle formulas are used to find the trigonometric ratios of half the angle. These formulas are:
- sin(A/2) = ±sqrt((1-cos(A))/2)
- cos(A/2) = ±sqrt((1+cos(A))/2)
- tan(A/2) = ±sqrt((1-cos(A))/(1+cos(A)))

In conclusion, trigonometry is a fundamental branch of mathematics that uses formulas to solve problems related to triangles. The above formulas are some of the most commonly used formulas in trigonometry.

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