Trigonometry ML Aggarwal ISC Class-11 Maths Solutions Chapter-3. Step by step Solutions of ML Aggarwal ISC Class-11 Maths with Exe 1.1, Exe-1.2, Exe-1.3, Exe-1.4, Exe-1.5, Exe-1.6, Exe-1.7, Exe-1.8, Exe-1.9, Exe-1.10 and Chapter Test Questions. Visit official Website CISCE for detail information about ISC Board Class-11 Mathematics.

## Trigonometry ML Aggarwal ISC Class-11 Maths Solutions

Board | ISC |

Class | 11 |

Subject | Mathematics |

Chapter-3 | Trigonometric Function |

Session | 2024-25 |

Topics | Solutions of ML Aggarwal |

### Trigonometry

Trigonometry Functions : Trigonometry functions are measured in terms of radian for a circle drawn in the XY plane. Radian is nothing but the measure of an angle, just like a degree.

#### The difference between the degree and radian

**Degree**: If rotation from the initial side to the terminal side is (1/360)th of revolution, then the angle is said to measure 1 degree.

1 degree=60minutes

1 minute=60 second

**Radian:** If an angle is subtended at the center by an arc of length ‘l, the angle is measured as radian. Suppose θ is the angle formed at the center, then

θ = Length of the arc/radius of the circle.

θ = l/r

**Sign of Trigonometric Functions**

sin(-θ) = -sin θ

cos(-θ) = cos θ

tan(-θ) = -tan θ

cot(-θ) = -cot θ

sec(-θ) = sec θ

cosec(-θ) = -cosec θ

**Trigonometric Functions of Sum and Product of two angles**

**(I) **sin (x+y) = sin x cos y + cos x sin y

sin (x-y) = sin x cos y – cos x sin y

cos (x+y) = cos x cos y – sin x sin y

cos (x-y) = cos x cos y + sin x sin y

sin (π/2 – x) = cos x

cos (π/2 – x) = sin x

**(II) **tan (x+y) = (tan x + tan y) /(1−tan x tan y)

tan (x-y) = (tan x − tan y)/(1 + tan x tan y)

cot (x+y) = (cot x cot y −1)/(cot y + cot x)

cot(x-y) = (cot x cot y + 1)/( cot y − cot x)

**(III)**

cos 2x = cos^{2} x-sin^{2} x = 2cos^{2} x-1 = 1-2sin^{2} x = (1-tan^{2} x)/(1+tan^{2} x)

sin 2x = 2sin x cos x= 2tan x/(1+ tan^{2} x)

tan 2x = 2 tan x/(1-tan^{2} x)

**(IV)**

sin 3x = 3 sin x – 4 sin^{3} x

cos 3x = 4 cos^{3 }x – 3 cos x

tan 3x = [3tan x-tan^{3} x]/[1-3 tan^{2} x]

**Exe-3.1**

Trigonometry ML Aggarwal ISC Class-11 Maths Solutions Chapter-3

**Exe-3.2**

Trigonometry ML Aggarwal ISC Class-11 Maths Solutions Chapter-3

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**Exe-3.3**

Trigonometry ISC Class-11 Maths Solutions Chapter-3

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**Exe-3.4**

Trigonometry ML Aggarwal ISC Class-11 Maths Solutions Chapter-3

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**Exe-3.5**

Ch-3 Trigonometry ISC Class-11 Maths ML Aggarwal Solutions

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**Exe-3.6**

Ch-3 Trigonometry ISC Class-11 Maths Solutions Chapter-3

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**Exe-3.7**

Trigonometry ISC Class-11 Maths Solutions Chapter-3

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**Exe-3.8**

Trigonometry ML Aggarwal ISC Class-11 Maths Solutions Chapter-3

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**Exe-3.9**

Trigonometry ML Aggarwal ISC Class-11 Maths Solutions Chapter-3

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**Exe-3.10**

Trigonometry ISC Class-11 Maths Solutions Chapter-3

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**Chapter Test**

ML Aggarwal ISC Class-11 Maths Solutions Chapter-3

-: End of Trigonometry ML Aggarwal ISC Class-11 Maths Solutions Chapter-3 :-

Return to :- ML Aggrawal ISC Class-11 Maths Vol-1 Solutions

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