Show that in the C R circuit, the phase angle is `tan^-1(1/(omegaCR))`

In an LR circuit , the phase angle between alternating voltage and alternating current is 45^@ . The value of inductive reactance will be

In L.C.R. series a.c. circuit, the phase angle between current and voltage is—

Show that the current leads the voltage by an angle of pi/2 in a purely capacitive a.c. circuit.

A certain circuit with resistance R- 100 Omega is powered by a direct current source. An ammeter with an internal resistance 1 Omega is connected to the circuit to measure the current .What was the current in the circuit before the ammeter was connected if the ammeter shows 5A?

Show that sqrt ((1+sin A ) /( 1-sin A))= sec A + tan A

Show that the line joining the incenter to the circumcenter of triangle A B C is inclined to the side B C at an angle tan^(-1)((cosB+cosC-1)/(sinC-sinB))

A particle just clears a wall of height b at distance a and strikes the ground at a distance c from the point of projection. The angle of projection is (1) tan^(-1)(b/(a c)) (2) "45"^o (3) tan^(-1)((b c)/(a(c-a))) (4) tan^(-1)((b c)/a)

Show that : int (dx)/(1+sinx)= tan x- sec x+ c

A normal to parabola, whose inclination is 30^(@) , cuts it again at an angle of (a) tan^(-1)((sqrt(3))/(2)) (b) tan^(-1)((2)/(sqrt(3))) (c) tan^(-1)(2sqrt(3)) (d) tan^(-1)((1)/(2sqrt(3)))

Show that sin (cot^(-1) (tan cos^(-1)x)) =x