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If (tan(ln6)dottan(ln2)dot"tan"(ln3))/(t...

If `(tan(ln6)dottan(ln2)dot"tan"(ln3))/(tan(ln6)-tan(ln2)-"tan"(ln3))=k ,` then the value of `k` is________

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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. In triangle ABC, prove that sin(B+C-A)+sin(C+A-B)+sin(A+B-C)=4sin Asi...

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  2. Prove that sum(k=1)^(n-1)(n-k)cos(2kpi)/n=-n/2, wherengeq3 is an int...

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  3. If (tan(ln6)dottan(ln2)dot"tan"(ln3))/(tan(ln6)-tan(ln2)-"tan"(ln3))=k...

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  4. In any triangle A B C ,sin^2A-sin^2B+sin^2C is always equal to (A) 2s...

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  5. If cot^2Acot^2B=3, then the value of (2-cos2A)(2-cos2B) is

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  6. If tanalpha=m/(m+1) and tanbeta=1/(2m+1) . Find the possible values o...

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  7. If u=sqrt(a^2 cos^2 theta + b^2sin^2theta)+sqrt(a^2 sin^2 theta + b^2 ...

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  8. The value of sin^2 12^0+sin^2 21^0+sin^2 39^0+sin^2 48^0-sin^2 9^0-sin...

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  9. The value of f(x)=x^4+4x^3+2x^2-4x+7, when x=cot((11pi)/8) is

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  10. Show that sqrt(3)cosec 20^@ - sec 20^@= 4

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  11. If (1+sint)(1+cost)=5/4 then find the value of (1-sint)(1-cost)dot

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  12. If alpha,beta,gamma,delta are the smallest positive angles in ascendi...

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  13. (sin^2A-sin^2B)/(sinAcosA-sinBcosB)is equal to (a)"tan"(A-B) ...

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  14. If cos25^0+sin25^0=p , then cos50^0 is (a)sqrt(2-p^2) (b) -sqrt(2...

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  15. The value of cot((7pi)/16)+2cot((3pi)/8)+cot((15pi)/16) is (a)4 (b...

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  16. If t a n^2theta=2t a n^2varphi+1 , prove that cos2theta+s in^2varphi=0...

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  17. If tanA.tanB=1/2,t h e n(5-3cos2A)(5-3cos2B)= (a)2 (b) 8 (c) 12 ...

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  18. If cos(alpha-beta)=3sin(alpha+beta),t h e n 1/(1-3sin2alpha)+1/(1-3sin...

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  19. The value of cos^2 10^0-cos10^0cos50^0+cos^2 50^0 is equal to 4/3 (b)...

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  20. If cosα+cosβ= 3/2 ​ and sinα+sinβ= 1/2​ and θ is the arithmeti...

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