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Prove that : sin^(6)A+cos^(6)A+3sin^(2...

Prove that : `sin^(6)A+cos^(6)A+3sin^(2)Acos^(2)A=1`

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sin^(6)A + cos^(6)A + 3sin^(2)A.cos^(2)A=

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Prove the following identities: sin^(6)A+cos^(6)A=1-3sin^(2)A cos^(2)A

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sin^6A+cos^6A+3sin^2A.cos^2A=

Show that (i) sin^(8)A-cos^(8)A=(sin^(2)A-cos^(2)A)(1-2sin^(2)A.cos^(2)A) (ii) (1)/(sec A-tan A)-(1)/(cos A)=(1)/(cos A)-(1)/(sec A + tan A)

Prove that 2 (sin ^ (6) A + cos ^ (6) A) -3 (sin ^ (4) A + cos ^ (4) A) + 1 = 0

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NAGEEN PRAKASHAN-INTRODUCTION TO TRIGONOMETRY-Exercise 8 C
  1. Prove that : (i) (1)/(1-cosA)+(1)/(1+cosA)=2"cosec"^(2)A " " (...

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  2. Prove that : (i) (1)/(sectheta-tantheta)+(1)/(sectheta+tantheta)=2se...

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  3. Prove that : sin^(6)A+cos^(6)A+3sin^(2)Acos^(2)A=1

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  4. Prove that : (1+cottheta+"cosec"theta)(1+cottheta-"cosec"theta)=2cott...

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  5. Prove that : (secA+1)/(tanA)=(tanA)/(secA-1)

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  6. Prove that : (sinA-cosA)(cotA +tanA)=secA-"cosec"A

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  7. Prove that : (tanA)/(1-cotA)+(cotA)/(1-tanA)=1+secA" cosec"A

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  8. (tanA+secA-1)/(tanA-secA+1)=(1+sinA)/(cosA)

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  9. If tanA+sinA=m and tanA-sinA=n, then prove that m^(2)-n^(2)=4sqrt(mn)...

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  10. If x=acostheta-bsinthetaandy=asintheta+bcostheta, then show that : ...

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  11. (sinA+cosecA)^2+(cosA+secA)^2=7+tan^2A+cot^2A

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  12. Prove that : (1-tanA)^(2)+(1-cotA)^(2)=(secA-"cosec"A)^(2)

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  13. Prove that : (secA-tanA)/(secA+tanA)=1-2secAtanA+2tan^(2)A

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  14. Prove that : sqrt((1+cosA)/(1-cosA))+sqrt((1-cosA)/(1+cosA))=2 "cosec...

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  15. If tan^2 theta= 1-e^2 prove that sec theta + tan^3 theta cosec theta=...

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  16. यदि (coalpha)/(cosbeta)=n और (cosalpha)/(cosbeta)=m, है तो cos^(2)bet...

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  17. If sectheta=x+(1)/(4x),prove that sectheta+tantheta=2xor(1)/(2x)*

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  18. If x=asecthetacosphi ,y=secthetasinphiandz=ctantheta,show that(x^(2))/...

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  19. Prove: (1+tan^2A)+(1+1/(tan^2A))=1/(sin^2A-sin^4A)

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  20. The value of (sintheta-2sin^(3)theta)/(2cos^(3)theta-costheta) is eq...

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