Question

write the modulus and argument value of z=1/root2(cos30degree+i sin30degree​

Answer 1

Answer:

ʟᴇᴛ

ᴢ=ᴛᴀɴ−ɪ

ᴛʜᴇɴ

∣ᴢ∣=

ᴛᴀɴ

+

=sᴇᴄ

ᴀʀɢ(ᴢ)=ᴛᴀɴ

−

(

ᴛᴀɴ

−

)

=−ᴛᴀɴ

−

(ᴄᴏᴛ())

=−(

π

−ᴄᴏᴛ

−

(ᴄᴏᴛ()))

=−

π

ʜᴇɴᴄᴇ

ᴢ=(ᴛᴀɴ−ɪ)

=ᴢ

=∣ᴢ∣

.ᴇ

ɪ.(−

π

)

=sᴇᴄ

()ᴇ

ɪ.(−π)

ʜᴇɴᴄᴇ

∣ᴢ∣=sᴇᴄ

() ᴀɴᴅ ᴘʀɪɴᴄɪᴘᴀʟ ᴀʀɢ(ᴢ)=(−π).