A) 3
B) 2
C) 1
D) 0
Correct Answer: C
Solution :
\[si{{n}^{6}}A+co{{s}^{6}}A+3\text{ }si{{n}^{2}}A\text{ }co{{s}^{2}}A\] \[={{({{\sin }^{2}}A)}^{3}}+{{({{\cos }^{2}}A)}^{3}}+3{{\sin }^{2}}A.{{\cos }^{2}}A\] \[=({{\sin }^{2}}A+{{\cos }^{2}}A)({{\sin }^{4}}A.+{{\cos }^{4}}A\] \[-{{\sin }^{2}}A{{\cos }^{2}}A)+3{{\sin }^{2}}A{{\cos }^{2}}A\] \[={{({{\sin }^{2}}A)}^{2}}+{{({{\cos }^{2}}A)}^{2}}+2{{\sin }^{2}}A{{\cos }^{2}}A\] \[={{({{\sin }^{2}}A+{{\cos }^{2}}A)}^{2}}=1\]
You need to login to perform this action.
You will be redirected in
3 sec
