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costheta-sintheta=cosalpha-sinalpha.Then...

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

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`theta=2npi+alpha, theta=2npi-pi/2-alpha`
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Assertion : The system of linear equations x+(sinalpha)y+(cosalpha)z=0x+(cosalpha)y+(sinalpha)z=0x-(sinalpha)y-(cos\ alpha)z=0 has a non-trivial solution for only value of alpha lying the interval (0,\ pi) Reason: The equation in\ alpha cosalphas in alpha cosalphasinalpha cosalphasinalphac osalpha-sinalpha-cosalpha|=0 has only one solution lying in the interval (-pi/4,\ pi/4)

If A=[(costheta,-sintheta),(sintheta,costheta)], then find the values of theta satisfying the equation A^T+A=I_2 .

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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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