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 = 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 cos3 x – 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 Vol-1 Solutions
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