Question

If sin q + sin2 q = 1, then find the value of the expression (cos2 q + cos4 q).​

Answer 1

Answer:

Given :

$\star \large{ \: \: sin \: q \: + {sin}^{ \: 2} q = 1}$

$\star \large \: sin \: q \: = 1 - {sin}^{2} q \:$

We know that,

✪ 1 - sin² q = cos ² q

$\star \: \large \: \: \sf sin \: q \: = co s^{ \: 2} q \: ........eq \: 1$

so substituting in cos² q + cos⁴ q

$\large \sf \star \: \: sin \: q \: + {sin}^{2} q \: = 1$

Therefore , the value is 1 ....

hope it helps...