the rms value of the emf given by: E(in volt)=8sin(ωt)+6sin(2ωt) is k `sqrt2` . then 'k' is

The maximum value of cos xsin x+sqrt(sin^(2)x+sin^(2)((pi)/(6))} is

Following figure, as shown an an generator connected to a "block box" through a pair fo terminal.The box contains possible R,L,C of their combination, whoe elements and arrangements are not known to us. Measurements outside the box revals that e=75sin(ωt) volts, i=1.5sin(ωt+45∘) amp then. the wrong statements is

An ac generator generates an emf .e. given by: e=311sin(100pit) volt. Find the rms value of the emf generated by the generator.

If a/(sinA)=K , then the area of "Triangle ABC" in terms of K and sines of the angles is (K^2)/4sin A sin B sin C (b) (K^2)/2sin A sin B sin C 2K^2sin A sin B "sin"(A+B) (d) none

If the middle term in the binomial expansion of ((1)/(x) + x sin x )^(10) is ( 63)/( 8) , then the value of 6sin^(2) x +sin x -2 is

Statement:1 If theta is acute and 1+ costheta = k , then sin (theta/2) is sqrt((2-k)/2) . and Statement-2: 2sin^(2)(x/2)=1-cosx .

Simplified value of sin [ (pi)/(2) - sin^(-1) (- (sqrt3)/(2)) ] is :

If alpha,beta,gamma,delta are the smallest positive angles in ascending order of magnitude which have their sines equal to the positive quantity k , then the value of 4sin(alpha/2)+3sin(beta/2)+2sin(gamma/2)+sin(delta/2) is equal to (a) 2sqrt(1-k) (b) 2sqrt(1+k) (c) (sqrt(1-k))/2 (d) none of these

In an AC circuit the instantaneous values of emf and current are e=200sin300t volt and i=2sin(300t+(pi)/(3)) amp The average power consumed (in watts) is

In an AC circuit, the instantaneous values of e.m.f and current are e=200sin314t volt and i=sin(314t+(pi)/3) ampere. The average power consumed in watt is