Home
Class 11
MATHS
Find the principal solutions of each of ...

Find the principal solutions of each of the following equations :
(i) `sinx=(-1)/(2)`
`"sin "(3x)/(2)=0`
(iii) `sin(x+(pi)/(5))=0`
(iv) `cos2x=0`
(v) `"cos"(5x)/(2)=0`
(vi) `cos(x+(pi)/(10))=0`

Text Solution

Verified by Experts

The correct Answer is:
(i) `(7pi)/(6),(11pi)/(6)`
(ii) `(3pi)/(4),(5pi)/(4)`
(iii) `(3pi)/(4),(7pi)/(4)`
(iv) `(4pi)/(3),(5pi)/(3)`
(v) `(2pi)/(3),(5pi)/(3)`
(vi) `(5pi)/(6),(7pi)/(6)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    RS AGGARWAL|Exercise EXERCISE|21 Videos

  • TRIGONOMETRIC , OR CIRCULAR, FUNCTIONS

    RS AGGARWAL|Exercise Exercise (15E)|10 Videos

Similar Questions

Explore conceptually related problems

Find the general solution of each of the following equations : (i) sin3x=0 (ii) "sin"(3x)/(2)=0 (iii) (x+(pi)/(5))=0 (iv) cos2x=0 (v) "cos"(5x)/(2)=0 (vi) cos(x+(pi)/(10))=0 (vii) tan2x=0 (viii) tan(3x+(pi)/(6))=0 (ix) tan(2x-(pi)/(4))=0

Find the general solution for each of the following equations : (i) cos4x=cos2x (ii) cos3x=sin2x (iii) sin3x+cos2x=0 (iv) sinmx+sinnx=0

Principal solutions of the equation sin2x+cos2x=0, where pi

Principal solutions of the equation sin 2x + cos 2x =0 . Where pi lt x lt 2pi are

The number of solutions of the equation "sin x = |"cos" 3x| "in" [0, pi] , is

The number of solutions of the equation "sin" x = "cos" 3x "in" [0, pi] is

Find the number of real solution of the equation (cos x)^(5)+(sin x)^(3)=1 in the interval [0, 2pi]