Question

if sin X = cos X then find the value of sin^4 X + cos^4X

Answer 1

Answer:

1/2

Step-by-step explanation:

sinx=cosx

sinx

---------- = 1

cosx

tanx=1

π

tanx=tan------

4

π

x = ------

4

now

sin^4x + cos^4x

= (sin x) ^4 + (cosx) ^4

= (sin π/4)^4 + (cosπ/4)^4

=(1/√2)^4 + (1/√2)^4

1 1

=---------- + -----------

4 4

1 + 1

=--------------------------

4

2

=-----------

4

1

= ----------

2