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Solve tan 5 theta= cot 2 theta....

Solve `tan 5 theta= cot 2 theta`.

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To solve the equation \( \tan 5\theta = \cot 2\theta \), we can follow these steps: ### Step 1: Rewrite cotangent in terms of tangent We know that \( \cot x = \frac{1}{\tan x} \). Therefore, we can rewrite the equation as: \[ \tan 5\theta = \frac{1}{\tan 2\theta} \] ...
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CENGAGE ENGLISH-TRIGONOMETRIC EQUATIONS-ILLUSTRATION
  1. Solve tan 3 theta=-1.

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  2. Solve 2 tan theta-cot theta=-1.

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  3. Solve tan 5 theta= cot 2 theta.

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  4. Solve (tan^(2) x+2sqrt(3) tan x+7) (cot^(2) y-2 sqrt(3) cot y+8) le 20...

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  5. Solve tan theta+tan 2 theta+sqrt(3) tan theta tan 2 theta = sqrt(3).

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  6. Find common roots of the equations 2sin^2x+sin^2 2x=2a n dsin2x+cos2x=...

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  7. Solve 2 sin^(2) x-5 sin x cos x -8 cos^(2) x=-2.

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  8. Find the number of roots of the equation tan(x+pi/6)=2tanx ,forx in (0...

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  9. Solve sin x-3 sin 2x + sin 3x = cos x -3 cos 2x + cos 3x.

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  10. Solve 7 cos^(2) theta+3 sin^(2) theta=4.

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  11. Solve (sin^(2) 2x+4 sin^(4) x-4 sin^(2) x cos^(2) x)/(4-sin^(2) 2x-4 s...

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  12. Solve (log)(tanx)(2+4cos^2x)=2

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  13. Solve 4cot2theta=cot^2theta-tan^2theta

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  14. Find the most general solution of 2^1|cosx|+cos^2x+|cosx|^(3+oo)=4

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  15. Solve the equation sqrt3cos x + sin x = sqrt2 .

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  16. Solve sqrt(3) cos theta-3 sin theta =4 sin 2 theta cos 3 theta.

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  17. Find the number of integral value of n so that sinx(sinx+cosx)=n has a...

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  18. Find the smallest positive values of xa n dy satisfying x-y=pi/4a n dc...

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  19. For what value of k the equation sinx+cos(k+x)+cos(k-x)=2 has real sol...

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  20. The -number of solutions of the equation cos(pisqrt(x-4)cos(pi sqrtx)=...

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