Question

$question$

If x sin3|+ y cos3|=sin|cos| and xsin|=ycos|, prove x2+y2=1.

No copied answers required!
Don't Spam!
Spammers 1st 40 answers will be deleted. So stay alert.
​

Answer 1

Answer:

hope its useful

if it is pls mark as brainlist

Answer 2

X sin3β + Ycos3β =sinβcosβ and, X sinβ =Y cosβ , have to be proved, X2 + Y2 =1 .

Or Xsinβ sin2β + Ycos3β = sinβcosβ .

Y cosβsin2β + Ycos2β = sinβcosβ ( as X sinβ = Y cosβ) .

Y cosβ ( sin2β + cos2β ) = sinβ cosβ . (as sin2β + cos2β = 1).

So Y cosβ = sinβ cosβ . or Y= sinβ . now Xsinβ =Ycos β ( put Y=sinβ) . then Xsinβ =sinβcosβ . so X = cosβ.

So X2 + Y2 = cos2β + sin2β =1 proved answer

X2 + Y2 =1 .