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Prove that: (1+sintheta-costheta)/(1+sin...

Prove that: `(1+sintheta-costheta)/(1+sintheta+costheta)=tan(theta/2)`

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CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Let alpha,betaa n dgamma be some angles in the first quadrant satisfyi...

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  2. If tanx=ntany ,n in R^+, then the maximum value of sec^2(x-y) is eq...

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  3. Prove that: (1+sintheta-costheta)/(1+sintheta+costheta)=tan(theta/2)

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  4. The greatest integer less than or equal to 1/(cos290^0)+1/(sqrt(3)sin2...

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  5. If alt=3cosx+5sin(x-pi/6)lt=b for all x then (a , b) is (a)(-sqrt(...

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  6. Prove that: (cos2theta)/(1+sin2theta)=tan(pi/4-theta)

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  7. If sin(x+20^0)=2sinxcos40^0,where in (0,pi/2), then which of the follo...

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  8. cosθ/ (1-tanθ) + sinθ/ (1−cotθ) is equals to ​

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  9. If x/(costheta)=y/(cos(theta-(2pi)/3))=z/(cos(theta+(2pi)/3)) then x+y...

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  10. Prove that : (cosecθ−cotθ)^2 = (1-cosθ)/(1+cosθ) ​

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  11. Let (sin(theta-alpha))/("sin"(theta-beta))=a/b a n d(cos(theta-alpha)...

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  12. (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=?

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  13. The value of expression (2(sin1^0+sin2^0+sin3^0+...+sin89^0))/(2(cos1...

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  14. If sintheta1sintheta2-costheta1costheta2+1=0, then the value of tan((t...

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  15. on a cartesian plane, draw a line segment XY parallel to x-axis at a d...

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  16. In triangle A B C , prove that sin(A/2)+sin(B/2)+sin(C/2)lt=3/2dot H...

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

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

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

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  20. 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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