सिध्द कीजिए कि :
`(cos 2p pi + i sin 2 p pi) (cos 2p pi +i sin 2p pi) =1`

sin (pi/2) = 2 sin(pi/4) cos (pi/4)

Find the rectangular form of the complex numbers. (cos" " (pi)/(6) - i sin" " (pi)/(6))/(2(cos" " (pi)/(3) + i sin" " (pi)/(3)))

The polar form of (i^(255))^(3) is (cos pi)/(2)+i(sin pi)/(2)bcos pi+is in pi c*cos pi-i sin pi d(cos pi)/(2)-is in(pi)/(2)

A sound wave is travelling in a medium.If equation of displacement wave in the medium is given by y = 2cos ( 2 pi x - 100 pi t + pi/2 ) then equation of pressure waves will be (B rarr Bulk modulus of medium) (А) P = 4B pi sin ( 2 pi x - 100 pi t ) (В) P = 4B pi sin ( 2 pi x + 100 pi t ) (C) P = 4B pi cos ( 2 pi x - 100 pi t ) (D) P = 4B pi cos ( 2 pi x + 100 pi t )

((sin ^ (2) a sin ^ (2) b + sin ^ (2) a cos ^ (2) b + cos ^ (2) a) + (sin ^ (2) (2 pi + a) + cos ^ (2) (6 pi-a) +1)) / (sin ^ (2) ((pi) / (3) -4 pi) + cos ^ (2) (8 pi + (pi) / (3)) +2))

Simplify: [(1+ (sin pi) / (8) + i (cos pi) / (8)) / (1+ (sin pi) / (8) -i (cos pi) / (8))] ^ ((1) / (2))

Prove that (i) "sin " (7pi)/(12) " cos " (pi)/(2) - "cos " *(7pi)/(12) " sin " (pi)/(4) = (sqrt(3))/(2) (ii) " sin " (pi)/(4) " cos " (pi)/(2) + "cos"(pi)/(4) " sin " (pi)/(12) = (sqrt(3))/(2) (iii) " cos " (2pi)/(3) " cos " (pi)/(4) - " sin " (2pi)/(3) " sin " (pi)/(4) =(-(sqrt(3) +1))/(2sqrt(2))

[(1 + cos ((pi) / (8)) + i sin ((pi) / (8))) / (1 + cos ((pi) / (8)) - sin ((pi) / (8 )))] ^ (8) =?

One of the values of ((cos (pi)/(6)-i sin (pi)/(6))^(1 / 2))((cos (pi)/(6)+i sin (pi)/(6))^(1 / 2)) is