Question

If cos x + cos²x = 1, then the value of sin²x+ sin⁴x is​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

1

Step-by-step explanation:

$\cos(x) = 1 - { \cos }^{2} x$

$\ \cos (x) = { \sin }^{2} x.......(1)$

${ \sin}^{2} x + { \sin }^{4} x = { \sin}^{2} x \: (1 + { \sin}^{2} x \: )$

$\: \: \: \: \: \: \: \: \: \: = \cos \: x(1 + \cos \: x)$

=cos x + cos²x = 1