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Prove that: (cos8^(@)-sin8^(@))/(cos8^...

Prove that:
`(cos8^(@)-sin8^(@))/(cos8^(@)+sin8^(@))=cot53^(@)`

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Prove that: cos^(2)48^(@)-sin^(2)12^(@)=(sqrt(5)+1)/(8)

Prove that sin20^(@)sin40^(@)sin80^(@)=(sqrt(3))/(8)

Evaluate : (cos 70^(@))/(sin 20^(@))+(cos 59^(@))/(sin31^(@))-8sin^(2)30^(@)

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NAGEEN PRAKASHAN ENGLISH-TRIGNOMETRIC FUNCTIONS-EXERCISES 3D
  1. Prove that: cos^(2)((pi)/(8)) + cos^(2)((3pi)/(8)) + cos^(2)((5pi)/(...

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  2. Prove that: i) tan36^(@)+tan9^(@)+tan36^(@)tan9^(@)=1

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  3. Prove that: (cos8^(@)-sin8^(@))/(cos8^(@)+sin8^(@))=cot53^(@)

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  4. If A-B=pi/4, then prove that: (1+tanA)(1-tanB)=2

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  5. Prove that: (cos(60^(@)-A)+sin(30^(@)-A))/(cos(30^(@)-A)-sin(60^(@)-A)...

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  6. i) If A+B=pi/4 prove that: (cotA-1)(cotB-1)=2

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  7. Prove that: (tan(pi/4+A)+tan(pi/4-A))/(tan(pi/4+A)-tan(pi/4-A))="cos...

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  8. Prove that: (sin(A-B))/(cosAcosB)+(sin(B-C))/(cosBcosc)+(sin(C-A))/(...

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  9. Prove that: sinAsin(B-C)+sinBsin(C-A)+sinCsin(A-B)=0

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  10. Prove that: cot2Acot3A-cot3Acot5A-cot5Acot2A=1

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  11. Prove that: cotA-cot2A="cosec"2A

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  12. Prove that: cos^2A+cos^2B-2cosA\ cos B cos\ (A+B)=sin^2(A+B)

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  13. If tan B=(n sin A cos A)/(1-n cos^(2)A), then tan(A+B) equals to

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  14. If tan B=(n sin A cos A)/(1-n cos^(2)A), then tan(A+B) equals to

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  15. If 2tanB +cotB=tanA, prove that: 2tan(A-B)=cotB

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  16. i) If tan (A+B) = n tan (A-B), prove that: (n+1)/(n-1) = (sin2A)/(sin...

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  17. If A+B=225^(@), then find the value of (cotA)/(1+cotA)xx(cot B)/(1+cot...

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  18. If cos(A+B)sin(C-D)="cos"(A-B)"sin"(C+D) , then write the value of t a...

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  19. If alphaa n dbeta are the solutions of acostheta+bs intheta=c , then s...

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  20. If sinA + sinB = a and cosA+cosB=b, prove that: i) sin(A+B)=(2ab)/(a...

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