Get 2 FREE Instant-Explanations on Filo with code FILOAPP

If { x } +{ }^{ 2 }x=1, then { }^{ 2 }x+{ }^{ 4 }x is :

Question

If $sin x + sin^{2} x = 1$ , then $cos^{2} x + cos^{4} x$ is :

Views: 954 students

Found 6 tutors discussing this question

Jack Discussed

sin x + sin^{2} x = 1

, then

cos^{2} x + cos^{4} x

is :

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

Given,

sin x + sin^{2} x = 1

\Rightarrow sin x = 1 - sin^{2} x

\Rightarrow sin x = cos^{2} x

Then

sin^{2} x = cos^{4} x

\Rightarrow 1 - cos^{2} x = cos^{4} x

Therefore,

cos^{2} x + cos^{4} x = 1

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our maths tutors online and get step by step solution of this question.

231 students are taking LIVE classes