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If tanA=1/7 and tanB=1/3, prove that: ...

If `tanA=1/7` and `tanB=1/3`, prove that:
`cos2A= sin4B`

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NAGEEN PRAKASHAN-TRIGNOMETRIC FUNCTIONS-EXERCISES 3F
  1. If cosA=-3/5 and pi/2 lt A lt pi, find the values of the following: ...

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  2. If tanA = 12/5 and pi lt A lt (3pi)/(2), find the values of the follow...

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  3. If tanA=1/7 and tanB=1/3, prove that: cos2A= sin4B

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  4. prove that (sin2A)/(1-cos2A)=cotA

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  5. Prove that: (cos2A)/(1+sin2A) = tan(pi/4-A)

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  6. Prove that: tan(pi/4+A)+tan(pi/4-A) = 2sec2A

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  7. Statement I : sin^2pi/8+sin^2(3pi)/8+sin^2(5pi)/8+sin^2(7pi)/8=2 State...

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  8. Prove that: sin^(2)A+sin^(2)(60^(@)+A)+sin^(2)(A-60^(@))=3/2

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  9. i) Prove that: (1-sin2A)/(1+sin2A) = tan^(2)(pi/4-A) ii) If costheta...

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  10. Prove that: sqrt(3)"cosec"20^(@)-sec20^(@)=4

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  11. Evaluate the following: i) sin\ pi/12 ii) sin\ pi/8, iii) cos\ pi/...

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  12. Prove that: "cot"pi/(24)=sqrt(2)+sqrt(3)+sqrt(4)+sqrt(6)

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  13. If sinA = -5/13 and pi lt lt (3pi)/(2), find the values of the followi...

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  14. If tanA=-3/4 and pi/2 lt A lt pi, find the values of the following: ...

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  15. Prove that: (1+sinA-cosA)/(1+sinA+cosA) = tanA/2

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  16. Prove that: tanA/2+ cotA/2=2 "cosec"A

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  17. Prove that: s in^4pi/8+s in^4(3pi)/8+s in^4(5pi)/8+s in^4(7pi)/8=3/2

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  18. Prove that: 1+cos^2 2theta=2(cos^4theta+sin^4theta)

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  19. Prove that: tanA(1+sec2A)=tan2A

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  20. Prove that: sqrt(2+sqrt(2+sqrt(2+2cos8A)))=2cosA

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