No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
−1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is B1 1+cos(π2)+isin(π2)1+cos(π2)−isin(π2)=2cos2π24+isinπ24cosπ242cos2π24−isinπ24cosπ24 =cosπ4+isinπ4cosπ4−isinπ4=cis(π24)cis(−π24)=cis(π12)(cis(π12))72=cis6π=1+i(0)=1