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If secxcos5x+1=0,w h e r e0<xlt=pi/2 , f...

If `secxcos5x+1=0,w h e r e0

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`secx*cosx+1=0`
`(cos5x)/cosx=-1`
`cos5x=-cosx`
`cos5x+cosx=0`
`2cos((5x+x)/2)*cos((5x-x)/2)=0`
`2 cos3x*cos2x=0`
`cos3x=0`
`3x=pi/2,3/2pi`
...
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RD SHARMA-TRIGONOMETRIC EQUATIONS-Solved Examples And Exercises
  1. Solve: sqrt(2) sec theta + tan theta=1

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  2. Solve that following equations : tantheta+tan2theta+tanthetatan2thet...

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  3. If secxcos5x+1=0,w h e r e0<xlt=pi/2 , find the value of x .

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  4. If 3tan(theta-15^0)=tan(theta+15^0) 0<theta<90 then theta'=

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  5. Solve that following equations : "tantheta"+"tan"(theta+pi/3)+"tan"(t...

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  6. If tan ptheta- tan q theta = 0, then the values of theta form a series...

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  7. The equation 3cosx+4sinx=6 has ...... solution. finite (b) infinite (c...

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  8. Solve that equation : sinmtheta+sinntheta=0.

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  9. Solve: 4sinxsin2xsin4x=sin3x

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  10. Solve: sin3alpha=4sinalphasin(x+alpha)sin(x-alpha),w h e r ealpha!=npi...

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  11. Solve: 2sin^2x+sin^2 2x=2

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  12. Solve: 7cos^2theta+3sin^2theta=4

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  13. Write the solution set of the equation (2costheta+1)(4costheta+5)=0 in...

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  14. Find the general solution : sec^2 2x=1-tan2x

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  15. Solve that following equations :"tan"^2theta+(1-sqrt(3))tantheta+sqrt(...

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  16. Solve that following equations : 4costheta-3s e ctheta=t a ntheta

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  17. Solve that following equations : 2tantheta-cottheta=-1

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  18. Solve that following equations : cot^2theta+3/(sin theta)+3=0

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  19. Solve that following equations : 2cos^2theta+3sintheta=0

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  20. If e^(sin x)-e^(-sin x)-4=0 , then x= 0 (b) sin^(-1){(log)e(2+sq...

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