Question

find all solutions of 2sinx=1-cosx in the interval from 0 to 360

Answer 1

square both sides.

4sin^2= 1-2cos+cos^2
4(1-cos^2)=1-2cos+cos^2

now, gather terms, it is a quadratic, solve using the quadratic equation.

Answer 2

okay so i got -(3/5) and 1, i am supposed to find the solutions in the interval from 0degrees to 360degrees

Answer 3

the previous ans. is wrong as if we sq. the eqn. it generates false solutions a better method is to divide coefficients of sin and cos by root of sq. of coeff.ofsin+sq. of coeff of cos . that is main pt. remaining we will proceed by making it an argument in cos . and then make general sol. and find no. of sol. or diff solutions by putting value of n in general solution

Answer 4

the previous ans. is wrong as if we sq. the eqn. it generates false solutions a better method is to divide coefficients of sin and cos by root of( sq. of coeff.ofsin+sq. of coeff of cos) . that is main pt. remaining we will proceed by making it an argument in cos . and then make general sol. and find no. of sol. or diff solutions by putting value of n in general solution