### Mathematics Class XI

Unit-I: Sets and Functions
Chapter 1: Sets
Unit-II: Algebra
Chapter 5: Binomial Theorem
Chapter 6: Sequence and Series
Unit-III: Coordinate Geometry
Chapter 1: Straight Lines
Chapter 2: Conic Sections
Unit-IV: Calculus
Unit-V: Mathematical Reasoning
Unit-VI: Statistics and Probability
Chapter 1: Statistics
Chapter 2: Probability

# Applications of Trigonometric Formulas

Properties of Triangle:

In any triangle the sides having length respectively.

We know, the sum of lengths of two sides of a triangle is greater than the length of the third side.

The sum of measures of the internal triangles is equal to

(i) Sine Formula:

In any ,

Some Important Results:

(A) In any , where is the radius of the circumscribing circle of .

(B) If denotes the area of the , the .

(ii) Cosine Formula:

In any ,

(a)

(b)

(c)

(iii) Tangent Formula:

In any ,

(a)

(b)

(c)

It is also known as Napier’s Formula.

(iv) Projection Formula:

In any ,

(a)

(b)

(c)

(v) Area Formula:

In any ,

The area of is given by is the perimeter of the triangle.

(I) (i)

(ii)

(iii)

(II) (i)

(ii)

(iii)

(III)  (i)

(ii)

(ii)

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