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Find x from the following equation: cos ...

Find `x` from the following equation: `cos e c(90^0+theta)+x costhetacot(90^0+theta)=sin(90^0+theta)`

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Find x from the following equation: xcot(90^0+theta)+tan(90^0+theta)sintheta+cosec(90^0+theta)=0

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Prove that sinthetacos(90^(@)-theta)=sin^(2)theta

Solve the following equation: sin3theta+cos2theta=0

Prove that: sin(60^0-theta)cos(30^0+theta)+cos(60^0-theta)sin(30^0+theta)=1.

Prove the following identities: (i) costhetasin(90^o-theta)+sinthetacos(90^o-theta)=1 (ii) (sin(90^o-theta))sintheta/(tantheta)-1=-sin^2theta (iii) (sin(90^o-theta)cos(90^o-theta))/(tantheta)=1-sin^2theta

RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. In a "DeltaA B C prove that tan(("A"+"B")/2)=cot("C"/2)

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  2. If A ,\ B ,\ C ,\ D be the angles of a cyclic quadrilateral, taken in ...

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  3. Find x from the following equation: cos e c(90^0+theta)+x costhetacot(...

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  4. Find x from the following equation: xcot(90^0+theta)+tan(90^0+theta)si...

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  5. Prove that: t a n 720^0-cos 270^0-sin 150^0cos 120^0=1/4

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  6. Prove that: sin 780^0sin 480^0+cos 120^0sin 150^0=1/2

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  7. Prove that: sin780^0sin 120^0+cos 240^0sin390^0=1/2

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  8. Prove that: sin600^0cos 390^0+cos 480^0sin 150^0=-1

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  9. Prove that : tan 225^@ cot 405^@+ tan 765^@ cot 675^@=0

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  10. Write the maximum and minimum values of cos(cosx)

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  11. Write the maximum and minimum values of sinx dot

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  12. Write the maximum value of sin(cosx)dot

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  13. If sin x=cos^2x ,\ then write the value of cos^2x\ (1+cos^2x)dot

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  14. If sin x+cosec\ x=2, then write the value of sin^n x+cos e c^n xdot

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  15. If sintheta1+sintheta2+sintheta3=3, then costheta1+costheta2+costheta3...

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  16. Write the value of sin 10^0+sin 20^0+sin 30^0+....+sin 360^@

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  17. A circular wire of radius 15cm is cut and bent so as to lie along the ...

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  18. The value for 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta)+1 is

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  19. Write the value of cos1^0+cos2^0+cos3^0++cos 180^0dot

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  20. If cot(alpha+beta)=0\ ,\ then write the value of "sin"(alpha+2beta) .

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