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Find A/2 if 2sin (A/2)=sqrt(1+sin A)+sqr...

Find A/2 if `2sin (A/2)=sqrt(1+sin A)+sqrt(1-sin A)`

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PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. Find sin( (pi)/n)+sin ((3pi)/n)+sin ((5pi)/n)+……..to n terms

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  2. Find theta if sin theta -cos theta lt0

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  3. Find A/2 if 2sin (A/2)=sqrt(1+sin A)+sqrt(1-sin A)

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  4. Find the range of A/2 if it satisfies 2 cos( A/2)=sqrt(1+sin A)-sqrt(1...

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  5. Find the maximum and minimum of 3sin 2x+4 cos 2x+3

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  6. Prove that -4le5cos theta +3 cos (theta+pi/3)+3le10 for all values of...

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  7. Find the maximum value of1+sin(pi/4+theta)+2cos(pi/4-theta) for all re...

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  8. Find cos(alpha+beta) if tan(alpha/2) and tan (beta/2) are roots of the...

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  9. If sec alpha and cosec alpha are the roots of x^2-px+q=0 then prove...

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  10. IfA+B+C=180^@then prove that sin( A/2)+sin( B/2)+sin( C/2) = 1+4 sin...

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  11. If x+y+z=xyz then prove that (3x-x^3)/(1-3x^2)+(3y-y^3)/(1-3y^2)+(3z-z...

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  12. Simplify the product cos A cos 2A cos2^2A……cos2^(n-1)A

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  13. Prove that the value of underset(r=0)overset10sum cos^3((rpi)/3) is eq...

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  14. If sinx+cosx=m and secx+cosecx=n prove that n(m^2-1)=2m

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  15. if xsin^3theta+ycos^3theta =sin theta cos theta and x sin theta -y cos...

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  16. Show that (sin^2 theta)/(1-cot theta)+(cos^2 theta)/(1-tan theta )=1+s...

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  17. If a sec alpha +btan alpha=d and bsec alpha +a tan alpha=c prove that ...

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  18. If a cos^3theta +3a cos theta sin^2theta =x and asin^3theta+3a cos^2th...

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  19. If cos alpha =1/2(x+1/x),cos beta=1/2(y+1/y) then evaluate cos(alpha-b...

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  20. If cos 2x + 2 cosx = 1 then evaluate sin^2x(2-cos^2x)

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