Math, asked by BhaisaabEsports, 7 months ago

if cos theta + cos^2 theta = 1
then value of sin^2 theta + sin^4 theta =

Answers

Answered by SnehaMedya
2

Answer:

1

Step-by-step explanation:

sin^2 theta+sin^4theta

=(1-cos^2 theta)+(sin^2theta .sin^2 theta)

=cos theta+(1-cos^2 theta)(1-cos^2theta)

=cos theta+(cos theta+cos theta)

=cos theta+cos^2 theta

=1

Answered by satheeshannarapu
1

given:cos theta +cos²theta=1

sin²theta+sin⁴theta=?

cos theta=1-cos²theta=sin²theta

we got cos theta =sin² theta

apply this sin²thera+sin⁴theta

sin²theta+sin⁴theta=cos theta+(sin²theta)²

cos theta+cos²theta

we know that cos theta+cos²theta=1

so sin²theta+sin⁴theta=1

Attachments:
Similar questions