SOLUTION: If sin theta - cos theta =0 then the value of (sin^4theta + cos^4 theta)is ?

Question 1086707: If sin theta - cos theta =0 then the value of (sin^4theta + cos^4 theta)is ?
Answer by ikleyn(52802) (Show Source): You can put this solution on YOUR website!
.

 = 0  ====>   =   ====>  (divide by  both sides )  ====> 


 = 1  ====>   =   or   = .


So, EITHER  =  =   OR

            =  = .


In any case,   =  =  = .

RELATED QUESTIONS
If sin^4(theta)=cos^5(theta),then what is the value of 'theta'... (answered by DrBeeee)

If cos(theta) = -0.6 and sin(theta) is greater than 0, find the exact value of tan(theta) (answered by josmiceli)

if 7 tan theta=4 then find the value of 7 sin theta-3 cos theta/7 sin theta+3 cos theta (answered by ikleyn)

if 3 sin theta-4 cos theta=5 find the value of (3 sin theta + 4 cos theta) (answered by Edwin McCravy)

sin 4theta=8sin theta*cos^3theta-4sin theta*cos... (answered by jsmallt9)

If sin (theta)=-9/13 and cos (theta)>0, then find the exact value (no decimals) of cos... (answered by jim_thompson5910)

If sin theta=3/4 and theta is an acute angle, what is the value of (tan theta)(cos... (answered by stanbon)

Show that (a) sin 2theta * cos theta + cos 2theta * sin theta = sin 4theta * cos theta (answered by mccravyedwin)

if tan theta=5/4 find the value of 3 sin theta + 4 cos theta/3 sin theta - 4cos (answered by Alan3354)