Find the value of `theta`
which satisfy `rsintheta=3a n dr=44(1+sintheta),0lt=thetalt=2pidot`
Text Solution
Verified by Experts
We have `r sin theta =3` and `r=4 (1+ sin theta)` Eliminating r, we get `4 sin^(2) theta +4 sin theta -3 =0` `:. (2 sin theta-1) (2 sin theta +3)=0` `rArr sin theta =1/2, -3/2` (not possible) `rArr theta=pi/6, (5 pi)/6` Thus, we have two solutions.
Topper's Solved these Questions
TRIGONOMETRIC EQUATIONS
CENGAGE|Exercise Exercise 4.1|12 Videos
TRIGONOMETRIC EQUATIONS
CENGAGE|Exercise Exercise 4.2|6 Videos
TRIGNOMETRIC RATIOS IDENTITIES AND TRIGNOMETRIC EQUATIONS
CENGAGE|Exercise Question Bank|4 Videos
TRIGONOMETRIC FUNCTIONS
CENGAGE|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos
Similar Questions
Explore conceptually related problems
Find the value of theta which satisfy rsintheta=3 and r=4(1+sintheta),0lt=thetalt=2pidot
Find the general value of theta which satisfy both sintheta=-1/2a n dtantheta=1//sqrt(3) simultaneously. a) 11 pi /6 b) 7 pi /6 c) pi /6 d)11 pi /6 , 7 pi /6
Find the value of theta if sintheta=0.9975
Find general value of theta which satisfies both sin theta = -1//2 and tan theta=1//sqrt(3) simultaneously.
Find all the values of theta for which the point (sin^2theta,sintheta) lies inside the square formed by the line x y=0 and 4x y-2x-2y+1=0.
Find the length of normal to the curve x=a(theta+sintheta),y=a(1-costheta) at theta=pi/2dot
Find the length of normal to the curve x=a(theta+sintheta),y=a(1-costheta) at theta=pi/2dot
Find all real values of x which satisfy x^2-3x+2>0a n dx^2-2x-4lt=0.
The general value of theta satisfying the equation tan^2theta+sec2theta=1 is_____
The general values of theta satisfying the equation 2sin^2theta-3sintheta-2=0 is (n in Z)dot npi+(-1)^npi/6 (b) npi+(-1)^npi/2 npi+(-1)^n(5pi)/6 (d) npi+(-1)^n(7pi)/6
CENGAGE-TRIGONOMETRIC EQUATIONS-Archives (Matrix Match Type)