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A value of theta satisfying costheta+sqr...

A value of `theta` satisfying `costheta+sqrt(3)sintheta=2` is `(5pi)/3` b. `(4pi)/3` c. `(2pi)/3` d. `pi/3`

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`1×costheta+sqrt(3) ​sintheta=2`
⇒`(1/2​costheta+sqrt(3)/2 ​​sintheta)=1`
⇒`sin30^0 costheta+cos30^0 sintheta=1`
⇒`sin(theta+30^0)=sin90^0`
⇒`theta+30^0=90^0 ortheta=60^0`
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RD SHARMA-TRIGONOMETRIC EQUATIONS-Solved Examples And Exercises
  1. Solve the following equation: sin2theta-sin4theta+sin6theta=0

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  2. Solve the following equation: tantheta+tan2theta+tan3theta=0

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  3. Write the general solution of tan^2 2x=1.

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  4. Solve the equation 5cos^2 theta+7sin^2theta-6=0

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  5. Writhe the number of values of theta\ in\ [0,2pi] thast satisfy the eq...

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  6. If 2sin^2theta=3\ costheta,\ w h e r e\ 0lt=thetalt=2pi, then find the...

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  7. The smallest value of theta satisfying the equation sqrt(3)(cottheta+t...

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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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  9. The general solution of the equation 7cos^2theta+3sin^2theta=4 is thet...

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  10. A solution of the equation cos^2theta+sintheta+1=0 lies in the interva...

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  11. The number of solution in [0,pi//2] of the equation cos3xtan5x=sin7x i...

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  12. The general value of x satisfying the equation satisfying the equati...

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  13. The smallest positive angle which satisfies the equation 2sin^2theta+s...

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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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  20. If cos theta=-1/2 and 0^@ < theta < 360^@ then the solutions are a. 60...

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