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The smallest value of theta satisfying t...

The smallest value of `theta` satisfying the equation `sqrt(3)(cottheta+t a ntheta)=4` is `2pi//3` b. `pi//3` c. `pi//6` d. `pi//12`

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Given,`sqrt(3)(cottheta+t a ntheta)=4`
=`(cottheta+t a ntheta)=4/sqrt(3)`
=`costheta/sintheta+sintheta/costheta=4/sqrt(3)`
=`1/(sinthetacostheta)=4/sqrt(3)`
=`sqrt(3)(sinthetacostheta)=4`
=`sqrt(3)/2=sin2theta`
=`sin 60=sin2theta`
...
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RD SHARMA-TRIGONOMETRIC EQUATIONS-Solved Examples And Exercises
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  4. Solve the equation 5cos^2 theta+7sin^2theta-6=0

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  8. If costheta+sqrt(3)sintheta=2, then theta= a.pi//3 b. 2pi//3 c. 4pi//...

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  14. If 4sin^2theta=1, then the values of theta are 2npi+-pi/3,\ n in Z b....

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  15. If cottheta-t a ntheta=s e ctheta , then theta is equal to 2npi+(3pi)/...

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  16. A value of theta satisfying costheta+sqrt(3)sintheta=2 is (5pi)/3 b. (...

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  17. If sqrt(3)costheta+sintheta=sqrt(2) , then general value of theta is n...

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  18. General solution of tan5theta=cot2theta is (npi)/7+pi/2^(\ ),\ n Z b....

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  19. The solution o the equation cos^2theta+sintheta+1=0 lies in the interv...

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