### 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

# Trigonometric Functions with Negative Angles

(i)

(ii)

(ii)

(iv)

(v)

(vi)

Hence,   are odd fucntions and  are even functions.

Some useful formulas according to quadrants:

(i) For

(i)

(ii)

(iii)

(iv)

(v)

(vi)

All are Positive.

(ii)For

(i)

(ii)

(iii)

(iv)

(v)

(vi)

All are positive.

(i) For

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Only and are positive.

(II) For

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Only and are positive.

(I) For

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Only and are positive.

(II) For

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Only and are positive.

(I) For

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Only and are positive.

(II )For

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Only and are positive.

NOTE:

(A)

(i)

(ii)

(iii)

(iv)

(v)

(vi)

All are

(B)

(i)

(ii)

(iii)

(iv)

(v)

(vi)

where is an odd integer.

Every trigonometric ratio converted into other trigonometric ratios:

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