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Prove that(sin(A+B)+sin(A-B))/(cos(A+B)+...

Prove that`(sin(A+B)+sin(A-B))/(cos(A+B)+cos(A-B))=tanA`

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`(sin(A+B)+sin(a-B))/(cos(A+B)+cos(A-B)`
`(sinAcosB+cosAsinB+sinAcosB-cosAsinB)/(cosAcosB-sinAsinB+cosAcosB+sinAsinB`
`(2sinAcosB)/(2cosAcosB)=tanA
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PATHFINDER-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-QUESTIONBANK
  1. Prove that cos^2 45^@-sin^2 15^@=sqrt3/4

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  2. Evaluate: cos80^@cos20^@+sin80^@sin20^@

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  3. Prove that(sin(A+B)+sin(A-B))/(cos(A+B)+cos(A-B))=tanA

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  4. Prove that tan54^@=(cos9^@+sin9^@)/(cos9^@-sin9^@)

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  5. Evaluate:"sin"pi/4"cos"pi/(12)+"cos"pi/4"sin"pi/(12)

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  6. (tan ((pi)/(4) +x))/( tan ((pi)/(4) -x ))= ((1 + tan x )/( 1- tan x ))...

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  7. Prove that sin^2(pi/8+A/2)-sin^2(pi/8-A/2)=1/sqrt2sinA

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  8. Find the value of tan15^@

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  9. Prove that sin^2(n+1)A-sin^2nA=sin(2n+1)AsinA

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  10. If tan(A+B)=x and tan(A-B)=y find the value of tan2A.

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  11. If log(b) n = 2 and og(n) 2b = 2, then find the value of b.

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  12. Prove that (tan69^@+tan66^@)/(1-tan69^@tan66^@)=-1.

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  13. If tanA=5/6 and tanB=1/(11), Prove that A+B=pi/.4

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  14. Prove that sin^2B=sin^2A+sin^2(A-B)-2sinAcosBsin(A-B)

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  15. Prove that cos^2A+cos^2B-2cosAcosBcos(A+B)=sin^2(A+B).

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  16. Prove that tan8theta-tan6theta-tan2theta=tan8thetatan6thetatan2theta.

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  17. If tanA+tanB=a and cotA+cotB=b.Prove that cot(A+B)=1/a-1/b

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  18. If tanx+tan(x+pi/3)+tan(x+(2pi)/3)=3 then prove that (3tanx-tan^3x)/(1...

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  19. cos(beta-gamma)+cos(gamma-alpha)+cos(alpha-beta)=-3/2 show that cosalp...

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  20. If tan(picostheta)=cot(pisintheta) Prove that sin(theta+pi/4)=1/(2sqrt...

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