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Find x from the following equation: xcot...

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

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To solve the equation \( x \cot(90^\circ + \theta) + \tan(90^\circ + \theta) \sin \theta + \csc(90^\circ + \theta) = 0 \), we can follow these steps: ### Step 1: Rewrite the trigonometric functions Using the trigonometric identities: - \( \cot(90^\circ + \theta) = -\tan \theta \) - \( \tan(90^\circ + \theta) = -\cot \theta \) - \( \csc(90^\circ + \theta) = \sec \theta \) ...
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RD SHARMA-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
  1. If A ,\ B ,\ C ,\ D be the angles of a cyclic quadrilateral, taken in ...

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

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

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

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

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

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

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  8. tan 225^@ cot 405^@+ tan 765^@ cot 675^@=0

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

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  10. Write the maximum and minimum values of s in\ (s in x)dot

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

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

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

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  14. If sintheta1+sintheta2+sintheta3=3, then costheta1+costheta2+costheta...

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

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

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

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

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

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  20. If t a n A+cot A=4, then write the value of t a n^4A+cot^4Adot

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