Answer :

(i) To prove:- sin 2A =


A = 30°


To show:- sin 60° =


Consider L.H.S. = =


=


= =


= √3/2


= sin 60° = R.H.S.


R.H.S. = L.H.S.


Hence, verified.


(ii) To show:- cos 2A =


A = 30°


To show:- cos 60° =


Consider R.H.S. = =


= 2/4 = 1/2 = cos 60° = L.H.S.


R.H.S. = L.H.S.


Hence, verified.


(iii) To show:- tan2A =


A = 30°


To show:- tan 60° =


Consider R.H.S. = = =


= 3/√3 = √3


= tan 60° = L.H.S.


R.H.S. = L.H.S.


Hence, verified.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Sum of n Terms of APSum of n Terms of APSum of n Terms of AP56 mins
Reflection of light-2Reflection of light-2Reflection of light-238 mins
Reflection of Light-1Reflection of Light-1Reflection of Light-144 mins
Magnetic Effects of Electric CurrentMagnetic Effects of Electric CurrentMagnetic Effects of Electric Current44 mins
Arithmetic Progression and 'nth' Term of APArithmetic Progression and 'nth' Term of APArithmetic Progression and 'nth' Term of AP55 mins
Basics of Coordinate GeometryBasics of Coordinate GeometryBasics of Coordinate Geometry53 mins
Glimpses of IndiaGlimpses of IndiaGlimpses of India39 mins
Indicators show the Nature of Acids & Bases. How?Indicators show the Nature of Acids & Bases. How?Indicators show the Nature of Acids & Bases. How?34 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

If θ = 45°, <spanKC Sinha - Mathematics

Find the numericaKC Sinha - Mathematics

At a point A, 20 Mathematics - Board Papers

If <img style="veRD Sharma - Mathematics

From a point on tMathematics - Board Papers

Evaluate the follKC Sinha - Mathematics

Evaluate each of RD Sharma - Mathematics

Express <imRD Sharma - Mathematics