How can you simplify sin^4a + cos^4asin4a+cos4a?
1 Answer
Jul 17, 2017
Explanation:
Note that
(sin^2a + cos^2a)^2 = sin^4a + 2sin^2acos^2a + cos^4a(sin2a+cos2a)2=sin4a+2sin2acos2a+cos4a
We see that
1 = sin^4a + 2sin^2acos^2a + cos^4a1=sin4a+2sin2acos2a+cos4a
Therefore,
sin^4a + cos^4a = 1 - 2sin^2acos^2asin4a+cos4a=1−2sin2acos2a
Hopefully this helps!