Question

if sin theta+sin^2theta=1 so prove cos^theta+cos^4 theta=1

Answer 1

sin (theta) +sin ^2 (theta) =1

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

sin (theta) -cos ^2 (theta) =0

sin (theta) =cos ^2 (theta) 
square both sides 
sin^2 (theta) =cos ^4 (theta) 
1-cos ^2 (theta)= cos ^4 (theta) 
cos ^4(theta) + cos^ 2( theta) = 1

hope it will help you....!!!!

Answer 2

HELLO DEAR,


We know that:-

sin² theta +cos ²theta =1

(1 - sin²theta ) =cos ²theta------(1)

given that:-

sintheta +sin²theta =1

=> sintheta= (1-sin²theta) ----------from(1)

=> sin theta = cos²theta [ squaring both side]

=> sin²theta = cos⁴theta

=> 1 - cos²theta = cos⁴theta ----------from--(1)

=> cos²theta + cos⁴theta =1


I HOPE ITS HELP YOU DEAR,
THANKS