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If sinx+cosx=(sqrt(7))/2, where x in 1s...

If `sinx+cosx=(sqrt(7))/2,` where `x in 1s t` quadrant, then `tanx/2` is equal to (a) `(3-sqrt(7))/3` (b) `(sqrt(7)-2)/3` (c) `(4-sqrt(7))/4` (d) none of these

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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. The value of the expression (tan^2 20^0-sin^2 20^0)/(tan^2 20^0+sin^2 ...

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  2. A piece of paper is in the shape of a square of side 1m long. It is cu...

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  3. If sinx+cosx=(sqrt(7))/2, where x in 1s t quadrant, then tanx/2 is ...

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  4. If tantheta+sectheta=1. 5 , find sintheta,tantheta and secthetadot

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  5. Show that the line joining the incenter to the circumcenter of triangl...

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  6. For n in Z , the general solution of (sqrt(3)-1)sintheta+(sqrt(3)+1)c...

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  7. The value of cot70^0+4cos70^0 is (a)1/(sqrt(3)) (b) sqrt(3) (c) ...

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  8. In A B C , right-angled at C , if tanA=sqrt((sqrt5-1)/2) , show tha...

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  9. If cosectheta-sintheta=m a n d sectheta-costheta=n ,"eliminate"theta

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  10. The solution of 4sin^2x+tan^2x+cos e c^2x+cot^2x-6=0i s(n in Z) (a) ...

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  11. The value of sinpi/(14)sin(3pi)/(14)sin(5pi)/(14)sin(7pi)/(14)sin(9pi)...

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  12. If 3sintheta+5costheta=5, then show that 5sintheta-3costheta=+-3.

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  13. In A B C , if (sinA)/(csinB)+(sinB)/c+(sinC)/b=c/(a b)+b/(a c)+a/(b c...

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  14. The set of values of x satisfying the equation sin3alpha=4sinalphasin(...

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  15. cos e c(360^0)/7+cos e c(540^0)/7= (a) cosec(180^0)/7 ,(b) cosec(...

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  16. If (secA+tanA)(secB+tanB)(secC+tanC)=(secA-tanA)(secB-tanB)(secC-tanC)...

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  17. In a triangle A B C , the altitude from A is not less than B C andthe ...

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  18. If (3-tan^2(pi/7))/(1-tan^2(pi/7))=kcos(pi/7) then the value of k is...

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  19. If tan(A-B)=1a n dsec(A+B)=2/(sqrt(3)) , then the smallest positive va...

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  20. Prove that sqrt((1+sintheta)/(1-sintheta))=sectheta+tantheta

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