Answer :

To Prove: cos 2x + 2sin2x = 1

Taking LHS,


= cos 2x + 2sin2x


= (2cos2x – 1) + 2sin2x [ 1 + cos 2x = 2 cos2x]


= 2(cos2x + sin2x) – 1


= 2(1) – 1 [ cos2 θ + sin2 θ = 1]


= 2 – 1


= 1


= RHS


LHS = RHS


Hence Proved


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Trigonometric Functions - 01Trigonometric Functions - 01Trigonometric Functions - 0152 mins
Conditional IdentitiesConditional IdentitiesConditional Identities31 mins
Trigonometric Functions - 05Trigonometric Functions - 05Trigonometric Functions - 0568 mins
Trigonometric Functions - 03Trigonometric Functions - 03Trigonometric Functions - 0366 mins
Trigonometric Functions - 06Trigonometric Functions - 06Trigonometric Functions - 0658 mins
Trigonometric SeriesTrigonometric SeriesTrigonometric Series45 mins
Interactive Quiz on trigonometric ratios & identitiesInteractive Quiz on trigonometric ratios & identitiesInteractive Quiz on trigonometric ratios & identities73 mins
Trigonometric Functions - 02Trigonometric Functions - 02Trigonometric Functions - 0268 mins
Trigonometric Functions - 04Trigonometric Functions - 04Trigonometric Functions - 0466 mins
Trigonometric Functions - 08Trigonometric Functions - 08Trigonometric Functions - 0865 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 :

Prove that:

RD Sharma - Mathematics

Prove that:

RD Sharma - Mathematics

Prove that:

RD Sharma - Mathematics

Prove that:

RD Sharma - Mathematics

Prove that:

RD Sharma - Mathematics

Prove that:

RD Sharma - Mathematics

Prove that:

RD Sharma - Mathematics

Prove that:

RD Sharma - Mathematics