Q. 63.6( 31 Votes )

If sin A+sin

Answer :

Given: sin A + sin2 A = 1


sin A = 1 – sin2 A


(By Rearranging)


sin A = cos2 A


(, sin2 θ +cos2 θ =1


cos2 θ = 1 – sin2 θ)


Squaring both sides, we get


sin2 A = cos4 A or cos4 A = sin2 A


Thus, cos2 A + cos4 A = sin A + sin2 A = 1 ( sin A+sin2 A = 1)


cos2 A + cos4 A = 1


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Trigonometric IdentitiesTrigonometric IdentitiesTrigonometric Identities39 mins
Heights and Distances-IHeights and Distances-IHeights and Distances-I45 mins
Trigonometric Identities-IITrigonometric Identities-IITrigonometric Identities-II43 mins
Introduction to Linear Equations in Two VariablesIntroduction to Linear Equations in Two VariablesIntroduction to Linear Equations in Two Variables62 mins
Area Related to Circles- Important Formula and ConceptsArea Related to Circles- Important Formula and ConceptsArea Related to Circles- Important Formula and Concepts59 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