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find the general values of '`theta`' from the following equations`cos3thetacos5theta-cos7thetacos9theta=0`

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To solve the equation \( \cos(3\theta) \cos(5\theta) - \cos(7\theta) \cos(9\theta) = 0 \), we can follow these steps: ### Step 1: Rewrite the equation using the product-to-sum identities We know that: \[ 2 \cos A \cos B = \cos(A + B) + \cos(A - B) \] Thus, we can rewrite the equation as: ...
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NAGEEN PRAKASHAN ENGLISH-TRIGNOMETRIC FUNCTIONS-EXERCISES 3K
  1. Find the general values of theta from the following equations: sin4t...

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  2. Solve that equation : sintheta+sin3theta+sin5theta=0.

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  3. Solve the following equation: sin2theta-sin4theta+sin6theta=0

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  4. costheta-cos2theta=sin3theta.Then find its general solution

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  5. Solve it sin((k+1)/2)theta-sin((k-1)/2)theta=sintheta

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  6. Find the general values of theta from the following equations: si...

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  7. sintheta+sin7theta=sin4theta. Then find its general solution

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  8. Find the general values of theta from the following equations: sinth...

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  9. find the general values of 'theta' from the following equationscos3the...

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  10. find the general values of 'theta' from the following equationscosthet...

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  11. Solve the equation: tantheta+tan2theta+tanthetatan2theta=1

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  12. find the general values of 'theta' from the following equationstanthet...

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  13. Solve tantheta+tan2theta+sqrt(3)tanthetatan2theta=sqrt(3)

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  14. Find the general values of theta from the following equations: tan(pi...

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  15. tantheta+tan(pi/3+theta)+tan((2pi)/(3)+theta)=3

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  16. costheta-sintheta=cosalpha-sinalpha.Then find its general solution

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  17. find the general values of 'theta' from the following equationssqrt(3)...

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  18. tantheta-tan(theta/2)=sec(theta/2).Then find its general solution

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