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Show that sqrt[2+sqrt[2+2cos4theta]]=2co...

Show that `sqrt[2+sqrt[2+2cos4theta]]=2costheta`

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Prove that sqrt(2+sqrt(2+2cos4theta))=2costheta

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If cos theta -sin theta =sqrt(2) sin theta , show that, costheta+sintheta=sqrt(2) cos theta [0ltthetaltpi/2] .

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CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. the least positive value of x satisfying ( sin^(2) 2x + 4 sin^(4) x...

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

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

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

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

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

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

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  8. If pi < x < 2pi, prove that (sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+...

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  9. If f(x)=2(7cosx+24sinx)(7sinx-24cosx), for every x in R , then maximu...

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  10. If costheta=cosalphacosbeta , prove that t a n(theta+alpha)/2t a n(th...

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  11. Prove that sqrt(sin^4x+4cos^2x)-sqrt(cos^4x+4sin^2x)=cos2xdot

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  12. If cos^2A+cos^2B+cos^2C=1, t h e n ABC is

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  13. Number of triangles A B C if tanA=x ,tanB=x+1,a n dtanC=1-x is

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  14. Which of the following quantities are rational? (a)sin((11pi)/(12))sin...

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  15. If log(10)sin x + log(10)cos x=-1 and log(10)(sin x + cos x)=((log(10)...

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  16. If tan(alpha-beta)=(sin2beta,)/(3-cos2beta) then (a)tanalpha=2tanbet...

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  17. If cosbeta is the geometric mean between sinalphaa n dcosalpha, where ...

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  18. In a triangle A B C , if A-B=120^0a n dsin(A/2)sin(B/2)sin(C/2)=1/(32...

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  19. In a Delta PQR,angleR=pi/2. If tan(P/2) and tan (Q/2) are the roots of...

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  20. If (tanx)/2=(tany)/3=(tanz)/5,x+y+z=pi and tan^2x+tan^2y+tan^2z is

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