Trigonometry ML Aggarwal ISC Class-11 Maths Solutions

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

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 = cos2 x-sin2 x = 2cos2 x-1 = 1-2sin2 x = (1-tan2 x)/(1+tan2 x)

sin 2x = 2sin x cos x= 2tan x/(1+ tan2 x)

tan 2x = 2 tan x/(1-tan2 x)

(IV)

sin 3x = 3 sin x – 4 sin3 x

cos 3x = 4 cosx – 3 cos x

tan 3x = [3tan x-tan3 x]/[1-3 tan2 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


 


Exe-3.3

Trigonometry ISC Class-11 Maths Solutions Chapter-3

 


Exe-3.4

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


 


Exe-3.5

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


 


Exe-3.6

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

 


Exe-3.7

Trigonometry ISC Class-11 Maths Solutions Chapter-3


 


Exe-3.8

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


 


Exe-3.9

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

 


Exe-3.10

Trigonometry ISC Class-11 Maths Solutions Chapter-3


 


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 Solutions

Thanks

Please share with your friends

16 thoughts on “Trigonometry ML Aggarwal ISC Class-11 Maths Solutions”

Leave a Comment

This site uses Akismet to reduce spam. Learn how your comment data is processed.