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`(sqrt2-sinalpha-cosalpha)/(sinalpha-cosalpha)` is equal to (a)`sec(alpha/2-pi/8)` (b)`cos(pi/8-alpha/2)` (c)`tan(alpha/2-pi/8)` (d)`cot(alpha/2-pi/2)`

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CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. In triangle A B C , prove that sin(A/2)+sin(B/2)+sin(C/2)lt=3/2dot H...

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  2. If x1 and x2 are two distinct roots of the equation acosx+bsinx=c , ...

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  3. (sqrt2-sinalpha-cosalpha)/(sinalpha-cosalpha) is equal to (a)sec(alp...

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  4. If (tan(alpha+beta-gamma))/("tan"(alpha-beta+gamma))=(tangamma)/(tanbe...

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  5. If sin(y+z-x),sin(z+x-y),"sin"(x+y-z) are in A.P., then t a n x ,tany...

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  6. Suppose A and B are two angles such that A , B in (0,pi) and satisfy s...

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  7. If "cot"(alpha+beta)=0, then "sin"(alpha+2beta) can be

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  8. The absolute value of the expression tan(pi/(16))+tan((5pi)/(16))+tan(...

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  9. Prove that: (sin2theta)/(1+cos2theta)=tantheta

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  10. If A and B are acute positive angles satisfying the equations 3 sin^(2...

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  11. The roots of the equation 4x^2-2sqrt(5)x+1=0,a r e

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  12. If x , y in R satisfies (x+5)^2+(y-12)^2=(14)^2, then the minimum v...

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  13. In triangle A B C , if sinAcosB=1/4 and 3t a n A=t a n B ,t h e ncot^...

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  14. the least positive value of x satisfying ( sin^(2) 2x + 4 sin^(4) x...

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  15. Prove that tan(pi/16)+2tan(pi/8)+4=cot (pi/16) .

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  16. Show that sqrt[2+sqrt[2+2cos4theta]]=2costheta

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  17. Prove that:(sec8theta-1)/(sec4theta-1)=(tan8theta)/(tan2theta)

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  18. If sinalpha+sinbeta=a and cosalpha+cosbeta=b , prove that tan((alpha...

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  19. If tan(alpha/2)=sqrt((a-b)/(a+b)) tan(beta/2) prove that cosalpha=(aco...

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  20. (cos^4(pi/8))+(cos^4((3pi)/8))+(cos^4((5pi)/8))+(cos^4((7pi)/8)) is

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