Posted by **Anonymous** on Monday, December 5, 2011 at 5:27pm.

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

- trig -
**bobpursley**, Monday, December 5, 2011 at 5:32pm
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.

- trig -
**Anonymous**, Monday, December 5, 2011 at 6:18pm
okay so i got -(3/5) and 1, i am supposed to find the solutions in the interval from 0degrees to 360degrees

- trig -
**piyush yadav**, Tuesday, December 6, 2011 at 1:27am
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

- trig -
**piyush yadav**, Tuesday, December 6, 2011 at 1:29am
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 this Question

## Related Questions

- trig - Find all the solutions of 2 sinx=1-cosx in the interval from 0 ≤x&...
- Trigonometry - Solve for x in the interval 0<=x<360: 1. 2sin2x+cosx =0 2. ...
- trig - Solve for [0, 360) 2sinxcosx + cosx =0 2sinxcosx = -cosx 2sinx = -cosx/...
- mathematics - Find all the solutions of 2 sinx=1-cosx in the interval from 0 &#...
- Math - Trig - I need to find the solutions in the interval [0, 2pi for: 2sinx + ...
- Trig (Last URGENT) - sin2x+cosx=0 , [-180,180) = 2sinxcosx+cosx=0 = cosx(2sinx+1...
- maths - hey, i would really appreciate some help solving for x when: sin2x=cosx ...
- trig - Find all solutions in the interval [0,360) sin(4t)=3/2
- trig - Find all solutions of the equation 2sin^2x-cosx=1 in the interval [0,2pi...
- identities trig? - find all solutions to the equation in the interval [0,2pie] ...