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Prove that, |{:(6a,a,a),(12b,2b,2b),(9...

Prove that,
`|{:(6a,a,a),(12b,2b,2b),(9c,c,-2c):}|=0`

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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
  1. Find the minimum values of: "sin" ^(2) (A)/(2)+"sin"^(2)(B)/(2) +"si...

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  2. If A+B+C= pi and "tan" (B+C-A)/(4) "tan" (C+A-B)/(4) *"tan" (A+B-C)/(4...

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  3. Prove that, |{:(6a,a,a),(12b,2b,2b),(9c,c,-2c):}|=0

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  4. If cos alpha+ cos beta= a sin alpha+ sin beta=b, then show that "ta...

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  5. Determine the value of k for which x-1 is a factor of (x^2 +1)+(x+k)do...

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  6. Prove that : sec alpha+ sec (120^(@)+ alpha) sec (120^(@)-alpha)=-3...

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  7. Prove that : "cosec" alpha+ "cosec" ((2pi)/(3)+alpha) +"cosec" ((pi)...

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  8. find the differtiation of tan(a^x)

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  9. If alpha, beta, gamma are positive acute angles, prove that sin alpha+...

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  10. find the differtiation of sin(e^x)

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  11. If cos alpha+ cos beta= a and sin alpha+ sin beta =b, then show that s...

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  12. Find "sin" (A)/(2) and "cos" (A)/(2) in terms of "tan"( A)/(4).

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  13. If tan theta (cos alpha+ sin beta), then show that one value of "tan" ...

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  14. If sin (pi cot theta)= cos (pi tan theta) and n is an integer, then...

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  15. Prove that the maximum value of (cos alpha(1)) (cos alpha(2))...( cos ...

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  16. Show that sin^(2) 12^(@)+ sin ^(2)21^(@)+ sin ^(2)39^(@)+ sin^(2)48^(@...

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  17. If alpha+ beta=(pi)/(2) and beta+ gamma= alpha then prove that tan alp...

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  18. theta and theta(2) are two distinct values of theta[ 0 le theta(1) 2p...

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  19. Find the values of alpha and beta[ 0 lt alpha, beta lt (pi)/(2)] satis...

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  20. Find all the values of alpha for which the equation sin ^(4) x+ cos^(4...

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