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If A,B,C are the angles a triangle, prov...

If A,B,C are the angles a triangle, prove that `cos A+ cos B+ cos C le (3)/(2)`

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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
  1. If A,B,C are the angles of a triangle, find the maximum values of : ...

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  2. If A,B,C are the angles of a triangle, find the maximum values of : ...

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  3. If A,B,C are the angles a triangle, prove that cos A+ cos B+ cos C le ...

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  4. If A,B,C are the angles of a triangle, prove that the maximum value of...

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  5. If theta+ phi= alpha, where 0 lt theta lt (pi)/(2) ,0 lt phi lt (pi)/(...

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  6. If theta+ phi= alpha, where 0 lt theta lt (pi)/(2) ,0 lt phi lt (pi)/(...

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  7. If theta+ phi= alpha, where 0 lt theta lt (pi)/(2) ,0 lt phi lt (pi)/(...

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  8. Show that (1)/(3) lt (sec^(2) theta - tan theta)/( sec^(2) theta+ tan ...

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  9. Find the minimum values of: "tan"^(2)(A)/(2)+ "tan"^(2) (B)/(2)+"ta...

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  10. Find the minimum values of: cot^(2)A+cot^(2)B+ cot ^(2)C where A,...

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  11. Find the minimum values of: 4sinA+3cosA

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  12. Find the minimum values of: "sin" ^(2) (A)/(2)+"sin"^(2)(B)/(2) +"si...

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

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

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

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

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

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

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

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