trigonometric eqtn

solve sin^{7}x +cos^{7}x=1

7 Answers

1
ANKIT MAHATO ·

x = 2n π or 2n π + π/2

11
Mani Pal Singh ·

yaar mereko
x^7 +y^7 ki expansion bata de
answer mein bata donga[3]

39
Dr.House ·

bhai , this one is a good problem , try to think

1
Nugorama ·

sin^2(x) + cos^2(x) = 1
and sin^7(x) + cos^7(x) <= sin^2(x) + cos^2(x)
hence ,..the condition given to us is an extremity.
which can only be obtained when :
sinx = 0 , cosx = 1 ....or ........sinx = 1 , cosx =0
generalisation :
x = (4n+1)pie/2 or x =(2m)pie

1
rahul wadhwani ·

put x= Î /2,3Î /2,...
then x=0.2Î ,4Î ,...

then generalised it yaar

1
Nugorama ·

Umm..rahul ..x=3pie/2 not satisfied.

9
Celestine preetham ·

this Q already discussed in forum

Nugoruma is right

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